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    - CHEMICAL ENGINEERING (204 journals)
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ENGINEERING (1248 journals)                  1 2 3 4 5 6 7 | Last

Showing 1 - 200 of 1205 Journals sorted alphabetically
3 Biotech     Open Access   (Followers: 8)
3D Research     Hybrid Journal   (Followers: 20)
AAPG Bulletin     Hybrid Journal   (Followers: 8)
AASRI Procedia     Open Access   (Followers: 14)
Abstract and Applied Analysis     Open Access   (Followers: 3)
Aceh International Journal of Science and Technology     Open Access   (Followers: 2)
ACS Nano     Full-text available via subscription   (Followers: 277)
Acta Geotechnica     Hybrid Journal   (Followers: 7)
Acta Metallurgica Sinica (English Letters)     Hybrid Journal   (Followers: 7)
Acta Polytechnica : Journal of Advanced Engineering     Open Access   (Followers: 3)
Acta Scientiarum. Technology     Open Access   (Followers: 3)
Acta Universitatis Cibiniensis. Technical Series     Open Access  
Active and Passive Electronic Components     Open Access   (Followers: 7)
Adaptive Behavior     Hybrid Journal   (Followers: 11)
Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi     Open Access  
Adsorption     Hybrid Journal   (Followers: 4)
Advanced Engineering Forum     Full-text available via subscription   (Followers: 7)
Advanced Science     Open Access   (Followers: 5)
Advanced Science Focus     Free   (Followers: 5)
Advanced Science Letters     Full-text available via subscription   (Followers: 10)
Advanced Science, Engineering and Medicine     Partially Free   (Followers: 7)
Advanced Synthesis & Catalysis     Hybrid Journal   (Followers: 18)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Engineering Software     Hybrid Journal   (Followers: 27)
Advances in Fuel Cells     Full-text available via subscription   (Followers: 15)
Advances in Fuzzy Systems     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Heat Transfer     Full-text available via subscription   (Followers: 21)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 22)
Advances in Magnetic and Optical Resonance     Full-text available via subscription   (Followers: 9)
Advances in Natural Sciences: Nanoscience and Nanotechnology     Open Access   (Followers: 29)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in OptoElectronics     Open Access   (Followers: 5)
Advances in Physics Theories and Applications     Open Access   (Followers: 13)
Advances in Polymer Science     Hybrid Journal   (Followers: 43)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Remote Sensing     Open Access   (Followers: 44)
Advances in Science and Research (ASR)     Open Access   (Followers: 5)
Aerobiologia     Hybrid Journal   (Followers: 3)
African Journal of Science, Technology, Innovation and Development     Hybrid Journal   (Followers: 6)
AIChE Journal     Hybrid Journal   (Followers: 35)
Ain Shams Engineering Journal     Open Access   (Followers: 5)
Akademik Platform Mühendislik ve Fen Bilimleri Dergisi     Open Access   (Followers: 1)
Alexandria Engineering Journal     Open Access   (Followers: 1)
AMB Express     Open Access   (Followers: 1)
American Journal of Applied Sciences     Open Access   (Followers: 26)
American Journal of Engineering and Applied Sciences     Open Access   (Followers: 10)
American Journal of Engineering Education     Open Access   (Followers: 9)
American Journal of Environmental Engineering     Open Access   (Followers: 16)
American Journal of Industrial and Business Management     Open Access   (Followers: 23)
Analele Universitatii Ovidius Constanta - Seria Chimie     Open Access  
Annals of Combinatorics     Hybrid Journal   (Followers: 4)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of Regional Science     Hybrid Journal   (Followers: 7)
Annals of Science     Hybrid Journal   (Followers: 7)
Antarctic Science     Hybrid Journal   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applicable Analysis: An International Journal     Hybrid Journal   (Followers: 1)
Applied Catalysis A: General     Hybrid Journal   (Followers: 6)
Applied Catalysis B: Environmental     Hybrid Journal   (Followers: 18)
Applied Clay Science     Hybrid Journal   (Followers: 6)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 11)
Applied Magnetic Resonance     Hybrid Journal   (Followers: 4)
Applied Nanoscience     Open Access   (Followers: 8)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Physics Research     Open Access   (Followers: 5)
Applied Sciences     Open Access   (Followers: 3)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arabian Journal for Science and Engineering     Hybrid Journal   (Followers: 5)
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Archives of Foundry Engineering     Open Access  
Archives of Thermodynamics     Open Access   (Followers: 8)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
ASEE Prism     Full-text available via subscription   (Followers: 3)
Asia-Pacific Journal of Science and Technology     Open Access  
Asian Engineering Review     Open Access  
Asian Journal of Applied Science and Engineering     Open Access   (Followers: 1)
Asian Journal of Applied Sciences     Open Access   (Followers: 2)
Asian Journal of Biotechnology     Open Access   (Followers: 8)
Asian Journal of Control     Hybrid Journal  
Asian Journal of Current Engineering & Maths     Open Access  
Asian Journal of Technology Innovation     Hybrid Journal   (Followers: 8)
Assembly Automation     Hybrid Journal   (Followers: 2)
at - Automatisierungstechnik     Hybrid Journal   (Followers: 1)
ATZagenda     Hybrid Journal  
ATZextra worldwide     Hybrid Journal  
Australasian Physical & Engineering Sciences in Medicine     Hybrid Journal   (Followers: 1)
Australian Journal of Multi-Disciplinary Engineering     Full-text available via subscription   (Followers: 2)
Autonomous Mental Development, IEEE Transactions on     Hybrid Journal   (Followers: 9)
Avances en Ciencias e Ingeniería     Open Access  
Balkan Region Conference on Engineering and Business Education     Open Access   (Followers: 1)
Bangladesh Journal of Scientific and Industrial Research     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
Batteries     Open Access   (Followers: 6)
Bautechnik     Hybrid Journal   (Followers: 1)
Bell Labs Technical Journal     Hybrid Journal   (Followers: 26)
Beni-Suef University Journal of Basic and Applied Sciences     Open Access   (Followers: 4)
BER : Manufacturing Survey : Full Survey     Full-text available via subscription   (Followers: 1)
BER : Motor Trade Survey     Full-text available via subscription  
BER : Retail Sector Survey     Full-text available via subscription   (Followers: 1)
BER : Retail Survey : Full Survey     Full-text available via subscription   (Followers: 1)
BER : Survey of Business Conditions in Manufacturing : An Executive Summary     Full-text available via subscription   (Followers: 2)
BER : Survey of Business Conditions in Retail : An Executive Summary     Full-text available via subscription   (Followers: 3)
Beyond : Undergraduate Research Journal     Open Access  
Bhakti Persada : Jurnal Aplikasi IPTEKS     Open Access  
Bharatiya Vaigyanik evam Audyogik Anusandhan Patrika (BVAAP)     Open Access   (Followers: 1)
Biofuels Engineering     Open Access   (Followers: 1)
Biointerphases     Open Access   (Followers: 1)
Biomaterials Science     Full-text available via subscription   (Followers: 10)
Biomedical Engineering     Hybrid Journal   (Followers: 15)
Biomedical Engineering and Computational Biology     Open Access   (Followers: 13)
Biomedical Engineering Letters     Hybrid Journal   (Followers: 5)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 21)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 37)
Biomedical Engineering: Applications, Basis and Communications     Hybrid Journal   (Followers: 5)
Biomedical Microdevices     Hybrid Journal   (Followers: 9)
Biomedical Science and Engineering     Open Access   (Followers: 4)
Biomedizinische Technik - Biomedical Engineering     Hybrid Journal  
Biomicrofluidics     Open Access   (Followers: 4)
BioNanoMaterials     Hybrid Journal   (Followers: 2)
Biotechnology Progress     Hybrid Journal   (Followers: 39)
Boletin Cientifico Tecnico INIMET     Open Access  
Botswana Journal of Technology     Full-text available via subscription   (Followers: 1)
Boundary Value Problems     Open Access   (Followers: 1)
Brazilian Journal of Science and Technology     Open Access   (Followers: 2)
Broadcasting, IEEE Transactions on     Hybrid Journal   (Followers: 12)
Bulletin of Canadian Petroleum Geology     Full-text available via subscription   (Followers: 13)
Bulletin of Engineering Geology and the Environment     Hybrid Journal   (Followers: 14)
Bulletin of the Crimean Astrophysical Observatory     Hybrid Journal  
Cahiers, Droit, Sciences et Technologies     Open Access  
Calphad     Hybrid Journal  
Canadian Geotechnical Journal     Hybrid Journal   (Followers: 31)
Canadian Journal of Remote Sensing     Full-text available via subscription   (Followers: 42)
Case Studies in Engineering Failure Analysis     Open Access   (Followers: 6)
Case Studies in Thermal Engineering     Open Access   (Followers: 5)
Catalysis Communications     Hybrid Journal   (Followers: 6)
Catalysis Letters     Hybrid Journal   (Followers: 2)
Catalysis Reviews: Science and Engineering     Hybrid Journal   (Followers: 7)
Catalysis Science and Technology     Free   (Followers: 8)
Catalysis Surveys from Asia     Hybrid Journal   (Followers: 3)
Catalysis Today     Hybrid Journal   (Followers: 7)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
Cellular and Molecular Neurobiology     Hybrid Journal   (Followers: 3)
Central European Journal of Engineering     Hybrid Journal  
CFD Letters     Open Access   (Followers: 6)
Chaos : An Interdisciplinary Journal of Nonlinear Science     Hybrid Journal   (Followers: 2)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Engineering     Open Access   (Followers: 2)
Chinese Science Bulletin     Open Access   (Followers: 1)
Ciencia e Ingenieria Neogranadina     Open Access  
Ciencia en su PC     Open Access   (Followers: 1)
Ciencias Holguin     Open Access   (Followers: 3)
CienciaUAT     Open Access   (Followers: 1)
Cientifica     Open Access  
CIRP Annals - Manufacturing Technology     Full-text available via subscription   (Followers: 11)
CIRP Journal of Manufacturing Science and Technology     Full-text available via subscription   (Followers: 13)
City, Culture and Society     Hybrid Journal   (Followers: 21)
Clay Minerals     Full-text available via subscription   (Followers: 10)
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Clinical Science     Full-text available via subscription   (Followers: 9)
Coal Science and Technology     Full-text available via subscription   (Followers: 3)
Coastal Engineering     Hybrid Journal   (Followers: 11)
Coastal Engineering Journal     Hybrid Journal   (Followers: 6)
Coatings     Open Access   (Followers: 4)
Cogent Engineering     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Color Research & Application     Hybrid Journal   (Followers: 2)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Combustion, Explosion, and Shock Waves     Hybrid Journal   (Followers: 13)
Communications Engineer     Hybrid Journal   (Followers: 1)
Communications in Numerical Methods in Engineering     Hybrid Journal   (Followers: 2)
Components, Packaging and Manufacturing Technology, IEEE Transactions on     Hybrid Journal   (Followers: 28)
Composite Interfaces     Hybrid Journal   (Followers: 7)
Composite Structures     Hybrid Journal   (Followers: 277)
Composites Part A : Applied Science and Manufacturing     Hybrid Journal   (Followers: 213)
Composites Part B : Engineering     Hybrid Journal   (Followers: 248)
Composites Science and Technology     Hybrid Journal   (Followers: 188)
Comptes Rendus Mécanique     Full-text available via subscription   (Followers: 2)
Computation     Open Access  
Computational Geosciences     Hybrid Journal   (Followers: 15)
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computational Science and Discovery     Full-text available via subscription   (Followers: 2)
Computer Applications in Engineering Education     Hybrid Journal   (Followers: 8)
Computer Science and Engineering     Open Access   (Followers: 19)
Computers & Geosciences     Hybrid Journal   (Followers: 31)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Computers and Electronics in Agriculture     Hybrid Journal   (Followers: 5)
Computers and Geotechnics     Hybrid Journal   (Followers: 11)
Computing and Visualization in Science     Hybrid Journal   (Followers: 6)
Computing in Science & Engineering     Full-text available via subscription   (Followers: 33)
Conciencia Tecnologica     Open Access  
Concurrent Engineering     Hybrid Journal   (Followers: 3)
Continuum Mechanics and Thermodynamics     Hybrid Journal   (Followers: 8)
Control and Dynamic Systems     Full-text available via subscription   (Followers: 9)
Control Engineering Practice     Hybrid Journal   (Followers: 43)

        1 2 3 4 5 6 7 | Last

Journal Cover Chaos, Solitons & Fractals
  [SJR: 0.679]   [H-I: 110]   [3 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0960-0779
   Published by Elsevier Homepage  [3175 journals]
  • Time-varying self-similarity in alternative investments
    • Authors: Salim Lahmiri; Stelios Bekiros
      Pages: 1 - 5
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Salim Lahmiri, Stelios Bekiros
      A rolling-window based approach is adopted in the current work to gauge time evolution of long-range dependence in a large set of various alternative (nonconventional) markets including Islamic, sustainability, ecology, and ethical equity markets. The approach allows conveying important information about the dynamics of long-range dependence in such contemporary and trendy alternative investments. The study shows that all investigated “alternative” markets exhibit persistence/anti-persistence dynamics, except two which reveal pure random behaviour. Roughly half of the Islamic markets and all ecological markets demonstrate persistent dynamic behaviour. On the contrary, all sustainable and most of the ethical alternative markets show increased anti-persistence. The persistence/anti-persistence patterns observed are cyclical, namely they are clustered over time. Finally, the distributions of estimated Hurst exponents are statistically different within Islamic and non-Islamic alternative markets.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.004
      Issue No: Vol. 111 (2018)
  • On the relay coupling of three fractional-order oscillators with
           time-delay consideration: Global and cluster synchronizations
    • Authors: Romanic Kengne; Robert Tchitnga; Sandrine Mabekou; Blaise Raoul Wafo Tekam; Guy Blondeau Soh; Anaclet Fomethe
      Pages: 6 - 17
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Romanic Kengne, Robert Tchitnga, Sandrine Mabekou, Blaise Raoul Wafo Tekam, Guy Blondeau Soh, Anaclet Fomethe
      The relay coupling of three fractional-order two-stage oscillators in the presence of time delay has been explored theoretically, numerically and analogically. The global stabilization of the system in a finite time is proven through Hölder and Gronwall inequalities, as well as through inequality scaling skills. The Synchronization of the system is characterized in terms of its parameters (coupling strength and time delay) by using time series, two parameters phase diagrams and two parameters transverse Lyapunov exponent diagrams. It is found that for smaller delay values, the network exhibits global phase synchronization whereas for higher delay values, phase synchronization just occurs between the two indirectly connected units (cluster phase synchronization). Striking phenomena such as amplitudes’ death and chaotic beats oscillations are also observed from this relay coupling of three fractional-order two-stage oscillators. Furthermore, PSpice simulation results of the analog electronic circuit are in perfect accordance with both theoretical and numerical results.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.040
      Issue No: Vol. 111 (2018)
  • Limit cycles in small perturbations of a planar piecewise linear
           Hamiltonian system with a non-regular separation line
    • Authors: Feng Liang; Valery G. Romanovski; Daoxiang Zhang
      Pages: 18 - 34
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Feng Liang, Valery G. Romanovski, Daoxiang Zhang
      We study Poincaré bifurcation for a planar piecewise near-Hamiltonian system with two regions separated by a non-regular separation line, which is formed by two rays starting at the origin and such that the angle between them is α ∈ (0, π). The unperturbed system is a piecewise linear system having a periodic annulus between the origin and a homoclinic loop around the origin for all α ∈ (0, π). We give an estimation of the maximal number of the limit cycles which bifurcate from the periodic annulus mentioned above under n-th degree polynomial perturbations. Compared with the results in [13], where a planar piecewise linear Hamiltonian system with a straight separation line was perturbed by n-th degree polynomials, one more limit cycle is found. Moreover, based on our Lemma 2.5 we improve the upper bounds on the maximal number of zeros of the first order Melnikov functions derived in [19].

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.002
      Issue No: Vol. 111 (2018)
  • An evolutive discrete exchange economy model with heterogeneous
    • Authors: Ahmad Naimzada; Marina Pireddu
      Pages: 35 - 43
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Ahmad Naimzada, Marina Pireddu
      We propose an exchange economy evolutionary model with discrete time, in which there are two groups of agents characterized by different structures of preferences. The share updating mechanism depends in a monotone manner on the goods’ consumption, described in terms of the calorie intakes. In such framework we investigate the existence of equilibria, their stability and the occurrence of multistability phenomena via a qualitative bifurcation analysis, which also highlights the presence of transcritical bifurcations.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.041
      Issue No: Vol. 111 (2018)
  • An analysis of an impulsive stage structured integrated pest management
           model with refuge effect
    • Authors: Olcay Akman; Timothy Comar; Miranda Henderson
      Pages: 44 - 54
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Olcay Akman, Timothy Comar, Miranda Henderson
      Integrated pest management (IPM) utilizes a combination of control methods in order to control pest populations in agricultural systems. Here, we construct a stage structured impulsive integrated pest management with added prey refuge. By considering the ability of pests to hide from management strategies, we establish properties for pest eradication and permanence of the proposed system. Simulations of eradicated and permanent solutions are also included in order to illustrate the behavior of pest and predator populations.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.039
      Issue No: Vol. 111 (2018)
  • Phase diagram and dynamics of dark-bright vector solitons in
           spin-orbit-coupled Bose–Einstein condensate
    • Authors: T.F. Xu; W.L. Li; Zai-Dong Li; C. Zhang
      Pages: 62 - 67
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): T.F. Xu, W.L. Li, Zai-Dong Li, C. Zhang
      We investigate the dynamics of dark-bright vector soliton solutions in a spin-orbit coupled Bose–Einstein condensate with repulsive interaction by the imaginary time evolution. The phase diagram is obtained numerically in spin-orbit coupled Bose–Einstein condensate. We find that the spin-orbit coupling favors miscibility, and the energy detuning between the Raman beam and atom dominates the separation phase of the Bose gases. We also find that the spin-orbit coupled strength affects interaction types (attractive or repulsive) between the two dark-bright solitons.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.014
      Issue No: Vol. 111 (2018)
  • Structure of equatorial envelope Rossby solitary waves with complete
           Coriolis force and the external source
    • Authors: Xiao-Jun Yin; Lian-Gui Yang; Quan-Sheng Liu; Jin-Mei Su; Guo-rong Wu
      Pages: 68 - 74
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Xiao-Jun Yin, Lian-Gui Yang, Quan-Sheng Liu, Jin-Mei Su, Guo-rong Wu
      In this article, the behavior of the equatorial envelope Rossby solitary waves with complete Coriolis force and the external source are investigated analytically. By the asymptotic method of multiple scales and perturbation expansions, a new cubic nonlinear Schrödinger equation with complete Coriolis force and the external source is derived to describe the evolution of equatorial envelope Rossby solitary waves. The equation is different from the common Schrödinger equation, it is more suitable for describing envelope Rossby solitary waves when the horizontal component Coriolis force is stronger near the equator. Using the equation, the features of generalized beta, the horizontal component of Coriolis force and the external source are presented. And then various periodic structures for equatorial envelope Rossby solitary waves are obtained with the help of Jacobi elliptic functions and elliptic equation. Particularly, the solution of envelope Rossby solitary waves is obtained and graphical presentations are shown for Rossby solitary waves amplitude with the different Coriolis parameters. It is pointed out that with decreasing of Coriolis parameter λ, the amplitude of Rossby solitary waves decreases, whereas the propagating frequency is unchanged. And we find that the periodic solution of the nonlinear Schrödinger equation have different structures with a phase-locked diabatic heating source and without a source.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.003
      Issue No: Vol. 111 (2018)
  • Nonlinear resonance and devil’s staircase in a forced planer system
           containing a piecewise linear hysteresis
    • Authors: Yuu Miino; Tetsushi Ueta; Hiroshi Kawakami
      Pages: 75 - 85
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Yuu Miino, Tetsushi Ueta, Hiroshi Kawakami
      The Duffing equation describes a periodically forced oscillator model with a nonlinear elasticity. In its circuitry, a saturable-iron core often exhibits a hysteresis, however, a few studies about the Duffing equation has discussed the effects of the hysteresis because of difficulties in their mathematical treatment. In this paper, we investigate a forced planer system obtained by replacing a cubic term in the Duffing equation with a hysteresis function. For simplicity, we approximate the hysteresis to a piecewise linear function. Since the solutions are expressed by combinations of some dynamical systems and switching conditions, a finite-state machine is derived from the hybrid system approach, and then bifurcation theory can be applied to it. We topologically classify periodic solutions and compute local and grazing bifurcation sets accurately. In comparison with the Duffing equation, we discuss the effects caused by the hysteresis, such as the devil’s staircase in resonant solutions.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.007
      Issue No: Vol. 111 (2018)
  • Synchronization of time delay systems with non-diagonal complex scaling
    • Authors: Gamal M. Mahmoud; Emad E. Mahmoud; Ayman A. Arafa
      Pages: 86 - 95
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Gamal M. Mahmoud, Emad E. Mahmoud, Ayman A. Arafa
      This paper deals with a kind of synchronization of dynamical systems with complex variables which is called generalized complex modified hybrid function projective synchronization (GCMHFPS) of time delay complex chaotic (hyperchaotic) systems. In other words, that the time delay complex systems can be synchronized up to a complex function transformation matrix. Moreover, the elements of the transformation matrix are complex functions of the states of drive system and time, where this matrix is not square. The idea of an active control method based on complex Krasovskii–Lyapunov functional is used to achieve GCMHFPS of time delay complex systems. Furthermore, based on the non-diagonal complex function transformation matrix, the modules and phases errors between one state of the complex response system and more than one of the states of the drive system are studied which have not been discussed before as far as we know. The analytical expression regarding the stability of this technique is derived and excellent agreement is found upon comparison with numerical calculations. In particular, we show through studying the time evolution of error, modulus and phase that the proposed scheme is effective for controlling time delay complex systems.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.001
      Issue No: Vol. 111 (2018)
  • A spherical conformal contact model considering frictional and microscopic
           factors based on fractal theory
    • Authors: Yao Liu; Yashun Wang; Xun Chen; Huangchao Yu
      Pages: 96 - 107
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Yao Liu, Yashun Wang, Xun Chen, Huangchao Yu
      Spherical conformal contact is widely used in engineering structures. The existing solution of the spherical conformal contact problem always ignores the microscopic characteristics or friction of the spherical surfaces. Therefore, the current paper presents a spherical fractal model to characterize the contact state of spherical pairs considering the microscopic topography of rough spherical surface and the factor of friction. Firstly, a method of characterizing the microscopic topography of rough spherical surface is proposed based on three-dimensional Weierstrass–Mandelbrot function. The fractal contact model of the single asperity is developed by Hertz theory in combination with elasticity. Then, the macroscopic parameters are introduced to construct the contact surface coefficient. The area distribution function under conformal contact region is obtained. Considering the friction factor of the conformal contact region, the microcontact model of the spherical conformal contact is developed based on fractal theory. Finally, the formula between (elastic, elastic-plastic, plastic) contact area, (elastic, elastic-plastic, plastic) contact load and the key parameters (fractal parameters and macro parameters) are derived based on the proposed model. The relationship between the actual contact area and the normal load of the contact region is established. Numerical results show that the proposed model is more accurate for the analysis of the spherical surface contact area and contact load.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.017
      Issue No: Vol. 111 (2018)
  • A new four-dimensional system containing chaotic or hyper-chaotic
           attractors with no equilibrium, a line of equilibria and unstable
    • Authors: Fahimeh Nazarimehr; Karthikeyan Rajagopal; Jacques Kengne; Sajad Jafari; Viet-Thanh Pham
      Pages: 108 - 118
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Fahimeh Nazarimehr, Karthikeyan Rajagopal, Jacques Kengne, Sajad Jafari, Viet-Thanh Pham
      In this paper, a new multi-character dynamical system is proposed. It has chaotic and hyper-chaotic attractors without any equilibrium, with a line of equilibria or with unstable equilibrium. It means that the proposed system can change its characteristic by varying its parameters. This system shows multi-stability between different attractors such as quasi-periodic and chaotic attractors, quasi-periodic and periodic attractors, two periodic attractors and also two chaotic attractors.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.009
      Issue No: Vol. 111 (2018)
  • Robustness of fractional difference schemes via the Caputo
           subdiffusion-reaction equations
    • Authors: Kolade M. Owolabi; Abdon Atangana
      Pages: 119 - 127
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Kolade M. Owolabi, Abdon Atangana
      In this paper, we develop a range of efficient and fast fractional difference schemes for the approximation of Caputo time-fractional subdiffusion-reaction equations. The classical time derivative is replaced with the Caputo fractional derivative operator. The experimental results justify that the numerical solution of the proposed methods compares favourably with the exact solution. Experimental results give a clear indication that dynamical models with non-integer order can yield a better spatial pattern when compared with their classical counterparts.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.019
      Issue No: Vol. 111 (2018)
  • Effect of observational holes in fractal analysis of galaxy survey masks
    • Authors: J.E. García-Farieta; R.A. Casas-Miranda
      Pages: 128 - 137
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): J.E. García-Farieta, R.A. Casas-Miranda
      Cosmological observations reveal that the Universe has a hierarchy of galaxy clustering with a transition to homogeneity on large scales according to the ΛCDM model. On the other hand some observational estimates suggest a multifractal behavior where galactic clustering is based on generalization of the correlation dimension. From this point of view, we study the influence of veto areas on fractal measurements in masks of galaxy surveys. Particularly we investigate if these holes can produce fractal behaviors or modify the scale of cosmic homogeneity. From the footprint of the Baryon Oscillation Spectroscopic Survey (BOSS) data release (DR12), we build a homogeneous sample following the radial selection function for 73,412 points limited to the redshift range 0.002 < z < 0.2. Different percentages of observational holes were created cumulatively in right ascension and declination on the sample. For the synthetic sample and for a real sample of galaxies we determined the fractal dimension Dq (r) in the range 2 ≤ q ≤ 6 using the sliding window technique to characterize the spatial point distribution. Our results show that generalized dimension varies with the scale, for low scales there are a fractal behavior with fluctuations for all hole percentages studied and for larger scales than 113 Mpc/h the statistical homogeneity is achieved in concordance with other analysis. We find that observational holes cause a shift in the homogeneity scale rH , in particular for all synthetic samples with percentages of holes between 0 and 10% the homogeneity scale is reached at (83 ± 1) Mpc/h while the fractal dimension changes as 2.83 ± 0.09 ≤ Dq  ≤ 2.855 ± 0.09. For synthetic samples with percentages of holes greater than 10%, we find that the value of rH increases proportionally. Consequently future results about homogeneity scale based in fractal analyses must be corrected by observational holes and regions of incompleteness in the geometry of the galaxy catalogue if the size of the veto mask is significant.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.018
      Issue No: Vol. 111 (2018)
  • Clock pulse modulation for ripple reduction in buck-converter circuits
    • Authors: Daisuke Ito; Hiroyuki Asahara; Takuji Kousaka; Tetsushi Ueta
      Pages: 138 - 145
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Daisuke Ito, Hiroyuki Asahara, Takuji Kousaka, Tetsushi Ueta
      DC–DC switching converters which are frequently treated as hybrid dynamical systems exhibit complex behavior due to nonlinear and interrupt characteristics. For synchronous buck-converters, we propose a method to control chaotic behavior by pulse–frequency modulation. An input voltage, a duty ratio of PWMs, and so on, affect to the regulation characteristics of converters directly, but a frequency of PWMs is determined by the frequency characteristics of the converter and is set as a fixed value. The proposed chaos-control method suppresses chaotic responses by slightly perturbing the pulse frequency alone, therefore our method can stabilize unstable periodic orbits without influence on the voltage regulation scheme. To simplify the feedback controller, the condition of dimension reduction for the controlling gain vector is derived. The proposed controller achieves the stabilization without a current sensor. Numerical simulation and circuit implementation demonstrate the validity of this method.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.015
      Issue No: Vol. 111 (2018)
  • Effect of delay on globally stable prey–predator system
    • Authors: Nishant Juneja; Kulbhushan Agnihotri; Harpreet Kaur
      Pages: 146 - 156
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Nishant Juneja, Kulbhushan Agnihotri, Harpreet Kaur
      The present paper deals with an eco-epidemiological prey–predator model with delay. It is assumed that infection floats in predator species only. Both the susceptible and infected predator species are subjected to harvesting at different harvesting rates. Differential predation rates for susceptible and infected predators are considered. It is shown that the time delay can even destabilize the otherwise globally stable non-zero equilibrium state. It is observed that coexistence of all the three species is possible through periodic solutions due to Hopf bifurcation. With the help of normal form theory and central manifold arguments, stability of bifurcating periodic orbits is determined. Numerical simulations have been carried out to justify the theoretical results obtained.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.010
      Issue No: Vol. 111 (2018)
  • Control, electronic circuit application and fractional-order analysis of
           hidden chaotic attractors in the self-exciting homopolar disc dynamo
    • Authors: Zhouchao Wei; Akif Akgul; Uğur Erkin Kocamaz; Irene Moroz; Wei Zhang
      Pages: 157 - 168
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Zhouchao Wei, Akif Akgul, Uğur Erkin Kocamaz, Irene Moroz, Wei Zhang
      Based on the segmented disc dynamo proposed by H. K. Moffatt, we give out the hidden chaotic attractors, which can show the imperfection in the dynamo model. In this paper. control of hidden chaos in the model is investigated by Lyapunov based nonlinear feedback controllers, sliding mode controllers and hybrid combination of them. Numerical simulations on the comparative analyses are presented. Moreover, with the aid of ORCAD-Pspice and oscilloscope, hidden chaos can be implemented by electronic circuit. Compared with the phase portraits using MATLAB, the simulation results of the oscilloscope outputs verify the effectiveness of electronic circuit design. Finally, in order to consider the effects of fractional order, we analyze the fractional order chaotic system (FOCS) and consider its FPGA implementation for the self-exciting homopolar disc dynamo. The results are helpful for us to better understand the dynamics behavior of disc dynamos.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.020
      Issue No: Vol. 111 (2018)
  • Dark solitons behaviors for a (2+1)-dimensional coupled nonlinear
           Schrödinger system in an optical fiber
    • Authors: Zhong-Zhou Lan; Bo Gao; Ming-Jing Du
      Pages: 169 - 174
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Zhong-Zhou Lan, Bo Gao, Ming-Jing Du
      In this paper, we investigate a (2+1)-dimensional coupled nonlinear Schrödinger system, which describes the transverse effects in an optical fiber, time-independent copropagation and field of optical soliton. Bilinear forms, dark one- and two-soliton solutions are derived by virtue of the Hirota method. Propagation and interaction properties of the dark solitons are discussed: (i) Amplitudes and velocities of the dark solitons are affected by the values of the wave numbers μ, λ and θ. (ii) Head-on and overtaking interactions between the two parallel dark solitons are discussed, where the amplitudes of the dark solitons remain unchanged after each interaction, implying that the interactions are elastic. (iii) Stationary dark solitons are depicted in this paper. (iv) Through the asymptotic analysis, elastic interaction between the two solitons is discussed analytically.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.005
      Issue No: Vol. 111 (2018)
  • Complexity matching in speech: Effects of speaking rate and naturalness
    • Authors: Adolfo G. Ramirez-Aristizabal; Butovens Médé; Christopher T. Kello
      Pages: 175 - 179
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Adolfo G. Ramirez-Aristizabal, Butovens Médé, Christopher T. Kello
      Recordings of speech exhibit nested clustering of peak amplitude events that reflects the hierarchical temporal structure of language. Previous studies have found variations in nested clustering to correspond with variations in prosody and social interaction. In the present study, we tested two specific dimensions of variation in speech hypothesized to have differing effects on hierarchical temporal structure: Speaking rate and naturalness. Rate was manipulated both algorithmically and experimentally, and naturalness was manipulated using synthesized speech, with sine wave speech as a comparison. Allan Factor analysis was used to quantify nested clustering of peak amplitude events in speech recordings as a function of timescale. For fast speech, nested clustering was found to shift into shorter timescales, whereas for synthesized speech, nested clustering was found to decrease in the longer timescales. Results are discussed in terms of complexity matching and its implications for how neural and perceptual processes might respond to changes in the hierarchical temporal structure of speech signals.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.021
      Issue No: Vol. 111 (2018)
  • Synchronization of complex networks with asymmetric coupling via
           decomposing matrix method
    • Authors: Lin Shi; Huilan Yang; Xin Wang; Shouming Zhong; Wenqin Wang
      Pages: 180 - 185
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Lin Shi, Huilan Yang, Xin Wang, Shouming Zhong, Wenqin Wang
      In this paper, the problem concerning synchronization is investigated for complex networks with time delay and asymmetric coupling. By decomposing the asymmetric coupling matrix and employing Lyapunov functional method, sufficient conditions are obtained for synchronization. Finally, two examples are reported to illustrate the effectiveness of some proposed methods.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.04.023
      Issue No: Vol. 111 (2018)
  • Is type 1 diabetes a chaotic phenomenon'
    • Authors: Jean-Marc Ginoux; Heikki Ruskeepää; Matjaž Perc; Roomila Naeck; Véronique Di Costanzo; Moez Bouchouicha; Farhat Fnaiech; Mounir Sayadi; Takoua Hamdi
      Pages: 198 - 205
      Abstract: Publication date: June 2018
      Source:Chaos, Solitons & Fractals, Volume 111
      Author(s): Jean-Marc Ginoux, Heikki Ruskeepää, Matjaž Perc, Roomila Naeck, Véronique Di Costanzo, Moez Bouchouicha, Farhat Fnaiech, Mounir Sayadi, Takoua Hamdi
      A database of ten type 1 diabetes patients wearing a continuous glucose monitoring device has enabled to record their blood glucose continuous variations every minute all day long during fourteen consecutive days. These recordings represent, for each patient, a time series consisting of 1 value of glycaemia per minute during 24 h and 14 days, i.e., 20,160 data points. Thus, while using numerical methods, these time series have been anonymously analyzed. Nevertheless, because of the stochastic inputs induced by daily activities of any human being, it has not been possible to discriminate chaos from noise. So, we have decided to keep only the 14 nights of these ten patients. Then, the determination of the time delay and embedding dimension according to the delay coordinate embedding method has allowed us to estimate for each patient the correlation dimension and the maximal Lyapunov exponent. This has led us to show that type 1 diabetes could indeed be a chaotic phenomenon. Once this result has been confirmed by the determinism test, we have computed the Lyapunov time and found that the limit of predictability of this phenomenon is nearly equal to half the 90 min sleep-dream cycle. We hope that our results will prove to be useful to characterize and predict blood glucose variations.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.033
      Issue No: Vol. 111 (2018)
  • Fractional-order modeling and dynamic analyses of a bending-torsional
           coupling generator rotor shaft system with multiple faults
    • Authors: Donglin Yan; Weiyu Wang; Qijuan Chen
      Pages: 1 - 15
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Donglin Yan, Weiyu Wang, Qijuan Chen
      Unexpected vibrations induced by the crack fault and other unbalance factors in rotor system seriously affect the health and reliability of the generator. Here, to explore the vibration performances, a bending-torsional coupling model of the generator rotor shaft system is established, in which electromagnetic malfunction (unbalanced magnetic pull) and mechanical failures (fractional-order damping, crack and contact-rubbing) are considered. Then, the simulation is done by a modified Adams-Bashforth-Moulton algorithm. Based on the simulation, the correctness of the new coupling model is verified by comparing with previous model and experimental data. At the same time, the new coupling model is analyzed to obtain the dynamic evolutions of the generator rotor shaft system with the changes of crack depth ratio, the fractional order of damping, rotational speed ratio and mass eccentricity of rotor. In addition to this, some critical values and ranges are proposed. Finally, these results can efficiently provide a theoretical reference for the design of generator rotor system and be applied to forecasting and diagnosing vibration faults in generator rotor shaft system.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.015
      Issue No: Vol. 110 (2018)
  • Preferential learning and memory resolve social dilemma
    • Authors: Chenglie Du; Jianliang Li
      Pages: 16 - 19
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Chenglie Du, Jianliang Li
      Cooperation is widespread in society, thus how to explain this phenomenon has become one open question. According to empirical experience, preferential learning and memory seem to be two effective ways to this issue, which, however, still needs validation in scientific research. Motivate by this point, we consider one-step memory and preference learning (i.e. learning the strategy of subject performing best, which is tuned by a preferential parameter α) in prisoner's dilemma game. α = 0 enables the model going back to control treatment where objects randomly selected. While for α > 0, individuals prefer objects that perform better. Compared with control treatment, we find that increasing preferential parameter α can promote cooperative behavior monotonously. In particular, the larger the value of α, the stronger and more compact clusters they can form. Finally, in order to investigate the robustness of this mechanism, we also study the evolution of cooperation in small-world network and random regular network.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.012
      Issue No: Vol. 110 (2018)
  • Evolving the attribute flow for dynamical clustering in signed networks
    • Authors: Hui-Jia Li; Zhan Bu; Yulong Li; Zhongyuan Zhang; Yanchang Chu; Guijun Li; Jie Cao
      Pages: 20 - 27
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Hui-Jia Li, Zhan Bu, Yulong Li, Zhongyuan Zhang, Yanchang Chu, Guijun Li, Jie Cao
      In real networks, clustering is of great value to the analysis, design, and optimization of numerous complex systems in natural science and engineering, e.g. power supply systems ,modern transportation networks, and real-world networks. However, the majority of them simply pay attention to the density of edges rather than the signs of edges as the attributes to cluster, which usually suffer a high-level computational complexity. In this paper, a new rule is proposed to update the attributes flow, which can guarantee network clustering reach a state of optimal convergence. The positive and negative update rule we introduced, represent the cooperative and hostile relationship, and the attribute configuration will convergence and one can identify the reasonable cluster configuration automatically. An algorithm with high efficiency is proposed: a nearly linear relationship is found between the time complexity and the size in sparse networks. Finally, we conduct the verification of the algorithmic performance by a representative simulations on Correlates of War data.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.02.009
      Issue No: Vol. 110 (2018)
  • On the rational limit cycles of Abel equations
    • Authors: Changjian Liu; Chunhui Li; Xishun Wang; Junqiao Wu
      Pages: 28 - 32
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Changjian Liu, Chunhui Li, Xishun Wang, Junqiao Wu
      In this paper, we deal with Abel equations: d x d y = A ( x ) y 2 + B ( x ) y 3 , where A(x) and B(x) are real polynomials. If a solution y = φ ( x ) of the above equations satisfies that φ ( 0 ) = φ ( 1 ) , then we say that it is a periodic solution. If a periodic solution is isolated, then we call it a limit cycle. If a limit cycle y = φ ( x ) is a rational function but not a polynomial, then we call it a nontrivial rational limit cycle. Firstly, we study the existence of nontrivial rational limit cycles. We prove that there exist Abel equations, which have at least two nontrivial rational limit cycles, and there also exists other Abel equations, which have at least one nontrivial rational limit cycle and one non-rational limit cycle. Secondly, we discuss the relation between the existence of nontrivial rational limit cycle and the degrees of A(x) and B(x). Finally we show that the multiplicity of a nontrivial rational limit cycle can be unbounded.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.004
      Issue No: Vol. 110 (2018)
  • Nearest neighbors based density peaks approach to intrusion detection
    • Authors: Lixiang Li; Hao Zhang; Haipeng Peng; Yixian Yang
      Pages: 33 - 40
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Lixiang Li, Hao Zhang, Haipeng Peng, Yixian Yang
      Intrusion detection systems are very important for network security. However, traditional intrusion detection systems can not identify new type of network intrusion for example zero-day attack. Many machine learning techniques were used in intrusion detection system and they showed better detection performance than other methods. A novel clustering algorithm called Density peaks clustering (DPC) which does not need many parameters and its iterative process is based on density. Because of its simple steps and parameters, it may have many application fields. So we are going to use it in intrusion detection to find a more accurate and efficient classifier. On the basis of some good ideas of DPC, this paper proposes a hybrid learning model based on k-nearest neighbors (kNN) in order to detect attacks more effectively and introduce the density in kNN. In density peaks nearest neighbors (DPNN), KDD-CUP 99 which is the standard dataset in intrusion detection is used to the experiment. Then, we use the dataset to train and calculate some parameters which are used in this algorithm. Finally, the DPNN classifier is used to classify attacks. Experiment results suggest that the DPNN performs better than support vector machine (SVM), k-nearest neighbors (kNN) and many other machine learning methods, and it can effectively detect intrusion attacks and has a good performance in accuracy.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.010
      Issue No: Vol. 110 (2018)
  • A new centrality measure based on the negative and positive effects of
           clustering coefficient for identifying influential spreaders in complex
    • Authors: Kamal Berahmand; Asgarali Bouyer; Negin Samadi
      Pages: 41 - 54
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Kamal Berahmand, Asgarali Bouyer, Negin Samadi
      Identifying the most influential spreaders with the aim of reaching a maximum spreading ability has been a challenging and crucial topic so far. Many centrality measures have been proposed to identify the importance of nodes in spreader detection process. Centrality measures are used to rank the spreading power of nodes. These centralities belong to either local, semi-local, or global category. Local centralities have accuracy problem and global measures need a higher time complexity that are inefficient for large-scale networks. In contrast, semi-local measures are popular methods that have high accuracy and near-linear time complexity. In this paper, we have proposed a new semi-local and free-parameter centrality measure by applying the natural characteristics of complex networks. The proposed centrality can assign higher ranks for structural holes as better spreaders in the network. It uses the positive effects of second-level neighbors’ clustering coefficient and negative effects of node's clustering coefficient in defining the importance of nodes. Therefore, the proposed centrality avoids selection of spreaders that are too close to one another. We compare the proposed method with different centrality measures based on Susceptible–Infected–Recovered (SIR) and Susceptible–Infected (SI) models on both artificial and real-world networks. Experiments on both artificial and real networks show that our method has its competitive advantages over the other compared centralities.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.014
      Issue No: Vol. 110 (2018)
  • Co-existence of in-phase oscillations and oscillation death in
           environmentally coupled limit cycle oscillators
    • Authors: Umesh Kumar Verma; Neeraj Kumar Kamal; Manish Dev Shrimali
      Pages: 55 - 63
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Umesh Kumar Verma, Neeraj Kumar Kamal, Manish Dev Shrimali
      We study the emergent dynamics of limit cycle oscillators coupled indirectly via a dynamic environment. We report the co–existence of in–phase oscillations and oscillation death in the parameter plane, which is observed for the first time in indirectly coupled systems. It is found that the emergent dynamics of this system crucially depend on both the decay parameter of the environment and the density of the mean–field coupling. Also, we found a distinct route to suppressed oscillation state, namely, amplitude death and oscillation death, from the oscillatory solutions. Our numerical results are consistent with the analytical results obtained from linear stability analysis and further corroborated by the experimental results obtained from the electronic circuit implementation of the system.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.009
      Issue No: Vol. 110 (2018)
  • Prisoner’s dilemma game on reputation-based weighted network
    • Authors: Ya-Shan Chen; Han-Xin Yang; Wen-Zhong Guo; Geng-Geng Liu
      Pages: 64 - 68
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Ya-Shan Chen, Han-Xin Yang, Wen-Zhong Guo, Geng-Geng Liu
      In this paper, we study the prisoner’s dilemma game on reputation-based weighted network. We define a player’s reputation as the frequency of cooperation in the past few time steps. The edge weight of a link is determined by the reputation of the two players at both ends. The payoff of an agent is multiplied by the value of edge weight. Compared with the unweighted network, the cooperation level is promoted strongly on the reputation-based weighted network. Moreover, we find that the cooperation level declines when the length of credit history becomes longer.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.007
      Issue No: Vol. 110 (2018)
  • Fractality in market risk structure: Dow Jones Industrial components case
    • Authors: Ladislav Kristoufek
      Pages: 69 - 75
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Ladislav Kristoufek
      We examine the Dow Jones Industrial Average index components with respect to the capital asset pricing model (CAPM), specifically its scaling properties in the sense of different investment horizons. To do so, we use the novel methods of fractal regressions based on the detrended cross-correlation analysis and the detrending moving-average cross-correlation analysis. We report three standard groups of stocks – aggressive, defensive and market-following – which are rather uniformly represented. For most of the stocks, the β parameter of the CAPM does not vary significantly across scales. There are two groups of exceptions. One of aggressive stocks which are even more aggressive for short investment horizons. These do not provide portfolio diversification benefits but allow for high profits above the market returns and even more so for the short investment horizons. And the other group of more defensive stocks which become very defensive in the long term. These stocks do not deliver short term profits but can serve as strong risk diversifiers. Apart from these direct results, our analysis opens several interesting questions and future research directions, both technical and experimental, which we discuss in more detail.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.02.028
      Issue No: Vol. 110 (2018)
  • Noise-induced bursting and chaos in the two-dimensional Rulkov model
    • Authors: Irina Bashkirtseva; Venera Nasyrova; Lev Ryashko
      Pages: 76 - 81
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Irina Bashkirtseva, Venera Nasyrova, Lev Ryashko
      We study an effect of random disturbances on the discrete two-dimensional Rulkov neuron model. We show that close to the Neimark–Sacker bifurcation, the increasing noise can cause the transition from the noisy quiescence with small-amplitude oscillations near the stable equilibria to the stochastic bursting with large-amplitude spikes. Mean values and variations of the interspike intervals are studied in dependence of the noise intensity. To study the noise-induced bursting, the analytical approach based on the stochastic sensitivity functions technique and confidence ellipses method is applied. On the basis of the largest Lyapunov exponents, we show how the noise-induced transition from the quiescence to stochastic bursting regime is accompanied by the transformation of dynamics from regular to chaotic.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.011
      Issue No: Vol. 110 (2018)
  • Recurrence quantification analysis of business cycles
    • Authors: Giuseppe Orlando; Giovanna Zimatore
      Pages: 82 - 94
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Giuseppe Orlando, Giovanna Zimatore
      This paper investigates, by means of recurrence quantification analysis, the characteristics of trade cycles and economic development. Trade cycles are complex phenomena oscillating because of economic downturns and expansions. In this paper the features of the underlying dynamics are studied over an extensive dataset e.g. Levy and Chen, OECD, BEA, etc. It is shown that recurrence quantification analysis can be suitably applied to economics and, therefore, may help in anticipating transitions from laminar (i.e. regular) to turbulent (i.e. chaotic) phases such as USA GDP in 1949, 1953, etc. Moreover, recurrence quantification analysis detects differences between macroeconomic variables, and highlights hidden features of economic dynamics.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.02.032
      Issue No: Vol. 110 (2018)
  • Synchronization of fractional-order memristor-based complex-valued neural
           networks with uncertain parameters and time delays
    • Authors: Xujun Yang; Chuandong Li; Tingwen Huang; Qiankun Song; Junjian Huang
      Pages: 105 - 123
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Xujun Yang, Chuandong Li, Tingwen Huang, Qiankun Song, Junjian Huang
      This paper talks about the global asymptotical synchronization problem of delayed fractional-order memristor-based complex-valued neural networks with uncertain parameters. Under the framework of Filippov solution and differential inclusion theory, several sufficient criteria ensuring the global asymptotical synchronization for the addressed drive-response models are derived, by means of Lyapunov direct method and comparison theorem. In addition, two numerical examples are designed to verify the correctness and effectiveness of the theoretical results.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.016
      Issue No: Vol. 110 (2018)
  • Synchronization dependence on initial setting of chaotic systems without
    • Authors: Fuqiang Wu; Ping Zhou; Ahmed Alsaedi; Tasawar Hayat; Jun Ma
      Pages: 124 - 132
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Fuqiang Wu, Ping Zhou, Ahmed Alsaedi, Tasawar Hayat, Jun Ma
      An initial-dependent system is developed from an electromotor driven by nonlinear torque. Standard nonlinear analysis is carried out and chaotic region is explored in the dynamical system without equilibria. Phase portrait, Lyapunov exponent spectrum, Hamilton energy and bifurcation analysis are calculated to confirm the emergence of chaos and state selection. It is found that the attractor type (periodical or chaotic) is dependent on the initial setting. Furthermore, bidirectional coupling is used to detect the synchronization approach between two initial-dependent electomotors. In the case of network synchronization and pattern selection, a chain network is designed and statistical factor of synchronization is calculated to predict the synchronization stability on the network. It is found that the synchronization stability shows some dependence on initial setting for one variable(external load). The Hamilton energy is also calculated to find the behavior dependence on initial setting and parameter selection by using Helmholtz theorem.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.024
      Issue No: Vol. 110 (2018)
  • Impact of self-interaction on evolution of cooperation in voluntary
           prisoner's dilemma game
    • Authors: Zhenxi Niu; Deming Mao; Tianyun Zhao
      Pages: 133 - 137
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Zhenxi Niu, Deming Mao, Tianyun Zhao
      Voluntary participation, as a simple yet valid mechanism to promote cooperation in game theory, has been received a great deal of attention. In this paper, we introduce self-interaction into voluntary prisoner's dilemma game. In detail, cooperator will gain a fixed additional reward by having an interaction with itself, while defector will obtain nothing through self-interaction and loner don't participate in the game. It is shown that cooperative behavior is remarkably facilitated with increase of additional reward by forming huge clusters for low level of temptation to defect. While for large temptation, the system will fall into cycle dominance of three strategies and self-interaction hardly has impact on the evolution of cooperation compared with traditional version.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.008
      Issue No: Vol. 110 (2018)
  • An improved meshless algorithm for a kind of fractional cable problem with
           error estimate
    • Authors: Elyas Shivanian; Ahmad Jafarabadi
      Pages: 138 - 151
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Elyas Shivanian, Ahmad Jafarabadi
      The present paper is devoted to the development of a kind of spectral meshless radial point interpolation (SMRPI) technique for solving fractional cable equation in one and two dimensional cases. The time fractional derivative is described in the Riemann–Liouville sense. The applied approach is based on a combination of meshless methods and spectral collocation techniques. The point interpolation method with the help of radial basis functions is used to construct shape functions which act as basis functions in the frame of SMRPI. It is proved the scheme is unconditional stable with respect to the time variable in H 1 and convergent by the order of convergence O ( δ t γ ) , 0 < γ < 1. In the current work, the thin plate splines (TPS) are used as the basis functions. The results of numerical experiments are compared with analytical solution to confirm the accuracy and efficiency of the presented scheme.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.013
      Issue No: Vol. 110 (2018)
  • Numerical investigation concerning the dynamics in parameter planes of the
           Ehrhard–Müller system
    • Authors: Angela da Silva; Paulo C. Rech
      Pages: 152 - 157
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Angela da Silva, Paulo C. Rech
      In this paper we investigate the nonlinear dynamics of the Ehrhard–Müller system, which is modeled by a set of three-parameter, three autonomous first-order nonlinear ordinary differential equations. More specifically, here we report on numerically computed parameter plane diagrams for this three-parameter system. The dynamical behavior of each point, in each parameter plane, was characterized by using Lyapunov exponents spectra, or independently by counting the number of local maxima of one of the variables, in one complete trajectory in the phase-space. Each of these diagrams indicates parameter values for which chaos or periodicity may be found. In other words, each of these diagrams displays delimited regions of both behaviors, chaos and periodicity. We show that these parameter planes contain self-organized typical periodic structures embedded in a chaotic region. We also show that multistability is present in the Ehrhard–Müller system.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.022
      Issue No: Vol. 110 (2018)
  • Walking dynamics of the passive compass-gait model under OGY-based
           state-feedback control: Rise of the Neimark–Sacker bifurcation
    • Authors: Hassène Gritli; Safya Belghith
      Pages: 158 - 168
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Hassène Gritli, Safya Belghith
      This paper continues our research work on analysis of passive dynamic walking of the two-degree-of-freedom planar compass-gait biped robot under the OGY-based state-feedback control. We showed, in our previous works, that the walking dynamics of the compass-gait model under control exhibits chaos and periodic-doubling and cyclic-fold bifurcations. In a first part, our analysis of the walking behavior was achieved using the impulsive hybrid continuous-time nonlinear dynamics of the compass-gait model under the OGY-based control. In a second part, our study of the controlled gait and the displayed local bifurcations was realized via the controlled hybrid Poincaré map. In the present work, we demonstrate, for the first time, the appearance of the Neimark–Sacker bifurcation in the controlled dynamic walking of the compass-gait model. Our investigation is achieved via the controlled hybrid Poincaré map instead of the impulsive continuous dynamics model of the bipedal walking. For such study, we mainly use bifurcation diagrams and 2D phase portraits of the discrete Poincaré map. We show that such Neimark–Sacker bifurcation is generated from a period-1 gait and is localized in a small range of the bifurcation parameter, the slope angle. We introduce a two-parameter bifurcation diagram to study occurrence of the Neimark–Sacker bifurcation.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.026
      Issue No: Vol. 110 (2018)
  • A numerical approach for solving the fractional Fisher equation using
           Chebyshev spectral collocation method
    • Authors: M.M. Khader; K.M. Saad
      Pages: 169 - 177
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): M.M. Khader, K.M. Saad
      In this paper, an efficient numerical method is introduced for solving the fractional (Caputo sense) Fisher equation. This equation presents the problem of biological invasion and occurs, e.g., in ecology, physiology, and in general phase transition problems and others. We use the spectral collocation method which is based upon Chebyshev approximations. The properties of Chebyshev polynomials are utilized to reduce the proposed problem to a system of ODEs, which is solved by using finite difference method (FDM). Some theorems about the convergence analysis are stated. A numerical simulation and a comparison with the previous work are presented. We can apply the proposed method to solve other problems in engineering and physics.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.018
      Issue No: Vol. 110 (2018)
  • Uncertain impulsive Lotka–Volterra competitive systems: Robust stability
           of almost periodic solutions
    • Authors: Gani Tr. Stamov; Stanislav Simeonov; Ivanka M. Stamova
      Pages: 178 - 184
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Gani Tr. Stamov, Stanislav Simeonov, Ivanka M. Stamova
      Models with uncertain values of their parameters are of a practical significance in different fields of science and technology. Uncertainty in the competitive models can greatly affect their dynamical behavior and, therefore, the analysis of the effects of uncertain terms in such models is very important in both theory and application. In this paper, we extend the existing N-species impulsive competitive models to the uncertainty case. The existence of a unique strictly positive and robustly exponentially stable almost periodic solution is investigated for the model. The main results are obtained by using Lyapunov-type functions and a comparison principle.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.017
      Issue No: Vol. 110 (2018)
  • On social sensitivity to either zealot or independent minorities
    • Authors: K. Mahmoodi; P. Grigolini; B.J. West
      Pages: 185 - 190
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): K. Mahmoodi, P. Grigolini, B.J. West
      Individuals act in their own self-interest, but in so doing contribute to the observed wellbeing of society, as determined using the self-organized temporal criticality (SOTC) model. This model identifies the timing of crucial events as a new mechanism with which to generate criticality, thereby establishing a way for the internal dynamics of the decision making process to suppress the sensitivity of social opinion to either zealot or independent minorities. We find that the sensitivity to the influence of zealots is much smaller than in the case of criticality with a fine tuning control parameter and the action of independent minorities may affect temporal complexity so as to realize the condition of ideal 1/f noise.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.028
      Issue No: Vol. 110 (2018)
  • DSIR double-rumors spreading model in complex networks
    • Authors: Yongli Zan
      Pages: 191 - 202
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Yongli Zan
      For there are always several kinds of rumors spreading simultaneously in real networks, the research about multiple rumors propagation process is necessary and significant. In this paper, considering the spread of two rumors with different launch time, and assuming the content of each rumor may have nothing to do with the others, we study the double-rumors concurrently spreading dynamics in complex networks, and introduce two kinds of double-rumors spreading models: the DSIR model and the C-DSIR model. We then provide the double-rumors dissemination mechanism by states-vectors expressions and derive the mean-field equations of models to describe their dynamics. Particularly, without rumors priorities, we introduce a selection parameter θ for spreaders to express the attractions of different rumors, and study the influence of this parameter on double-rumors spreading. Numerical simulations are performed to explore the interaction between two rumors, and we investigate the spreading peak and the final size of the rumors with various parameters. Simulation results indicate that, the best launch time of new rumor exists explicitly for the DSIR model, the selection parameter θ and the delay time Tin are interdependent quantities, and the closer the start time of new rumor is to the best time, the more obvious the interdependence would be. Meanwhile, Tin is also a network-dependent parameter for our models in a series of BA networks. Furthermore, under the same conditions, the influential nodes identified by large coreness are the relative better promulgators for new rumor, so they are what the strategy should give priorities to. Our experiment reveals some interesting patterns of double-rumors spreading and suggest a possible avenue for further study of interplays of multiple pieces of information in complex network.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.021
      Issue No: Vol. 110 (2018)
  • Chaotic dynamics in a three-dimensional map with separate third iterate:
           The case of Cournot duopoly with delayed expectations
    • Authors: Fernando Bignami; Anna Agliari
      Pages: 216 - 225
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Fernando Bignami, Anna Agliari
      We consider a Cournot duopoly with isoelastic demand function and constant marginal costs. We assume that both producers have naive expectations but one of them reacts with delay to the move of its competitors, due to a “less efficient” production process of a competitor with respect to its opponent. The model is described by a 3D map having the so-called “cube separate property”, that is its third iterate has separate components. We show that many cycles may coexist and, through global analysis, we characterize their basins of attraction. We also study the chaotic dynamics generated by the model, showing that the attracting set is either a parallelepiped or the union of coexisting parallelepipeds. We also prove that such attracting sets coexist with chaotic surfaces, having the shape of generalized cylinders, and with different chaotic curves.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.023
      Issue No: Vol. 110 (2018)
  • Pattern formation and parameter inversion for a discrete
           Lotka–Volterra cooperative system
    • Authors: Li Xu; Jiayi Liu; Guang Zhang
      Pages: 226 - 231
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Li Xu, Jiayi Liu, Guang Zhang
      In this paper, stability analysis is applied to a discrete Lotka–Volterra cooperative system with the periodic boundary conditions, then Turing pattern formation conditions can be derived, theory analysis and numerical simulation show that turing patterns can be realized. In addition, we also pay attention on what reason or what system environment to result into the current state patterns, which can be reduced to estimate or identify the system parameter. A regularization method is applied to parameter inversion, and numerical simulation can verify the effectiveness of the algorithm.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.035
      Issue No: Vol. 110 (2018)
  • Detecting chaos and predicting in Dow Jones Index
    • Authors: P.R.L. Alves; L.G.S. Duarte; L.A.C.P. da Mota
      Pages: 232 - 238
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): P.R.L. Alves, L.G.S. Duarte, L.A.C.P. da Mota
      A new theory for characterization of chaos is the basis for a chaos approach in Econophysics. Distinct periods of Dow Jone Index are the objects of study in the reconstruction scheme. They include the Economic Crashes of 1929 and 1987. The computational routines analyze the time series of stock market indices in the Algebraic Computational environment. The method developed distinguishes between chaos and randomness from real systems. This paper presents conclusive results about the dynamic characteristic of Dow Jones Index evolution.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.034
      Issue No: Vol. 110 (2018)
  • Hybrid consensus for averager–copier–voter networks with
           non-rational agents
    • Authors: Yilun Shang
      Pages: 244 - 251
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Yilun Shang
      For many social dynamical systems with heterogenous communicating components there exist non-rational agents, whose full profile (such as location and number) is not accessible to the normal agents a priori, posing threats to the group goal of the community. Here we demonstrate how to provide resilience against such non-cooperative behaviors in opinion dynamics. We focus in particular on the consensus of a hybrid network consisting of continuous-valued averager, copier agents and discrete-valued voter agents, where the averagers average the opinions of their neighbors and their own deterministically, while copiers and voters update their opinions following some stochastic strategies. Based upon a filtering strategy which removes some fixed number of opinion values, we establish varied necessary and sufficient conditions for the hybrid opinion network to reach consensus in mean in the presence of globally and locally bounded non-rational agents. The communication topologies are modeled as directed fixed as well as time-dependent robust networks. Although our results are shown to be irrespective of the proportion of the averager, copier, and voters, we find that the existence of voters has distinct influence on the evolution and consensus value of the negotiation process.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.037
      Issue No: Vol. 110 (2018)
  • Tolerance-based punishment and cooperation in spatial public goods game
    • Authors: Shuhua Zhang; Zhipeng Zhang; Yu’e Wu; Ming Yan; Yunya Xie
      Pages: 267 - 272
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Shuhua Zhang, Zhipeng Zhang, Yu’e Wu, Ming Yan, Yunya Xie
      Punishment, as a remarkable way, has been proposed to explain the emergence and persistence of cooperation in the human species. Inspired by the fact that people have a certain tolerance for free-riders before punishment, therefore, we study the effect of tolerance-based punishment on the evolution of cooperation in spatial public goods game. Cooperators punish defectors on the basis of the tolerance threshold during the evolutionary process and have to bear the relevant costs of sanction subsequently. Different from previous works, the new mechanism can reduce the frequency of punishing by controlling the tolerance for punishment. We find that this mechanism can lead to synergistic effects, and it can stabilize the circumstance of full cooperation under adverse conditions. By means of analysis of the emergence of cooperative clusters, we demonstrate that the tolerance-based punishment can promote cooperation through enhancing spatial reciprocity. In addition, the readiness of cooperation increases obviously by adjusting this kind of punishment. Our work extends the form of punishment in the evolution of spatial public goods game and the results are conducive to a better understanding of punishment.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.036
      Issue No: Vol. 110 (2018)
  • Extinction and stationary distribution of an impulsive stochastic
           chemostat model with nonlinear perturbation
    • Authors: Xuejin Lv; Xinzhu Meng; Xinzeng Wang
      Pages: 273 - 279
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Xuejin Lv, Xinzhu Meng, Xinzeng Wang
      This paper investigates a new impulsive stochastic chemostat model with nonlinear perturbation in a polluted environment. We present the analysis and the criteria of the extinction of the microorganisms, and establish sufficient conditions for the existence of a unique ergodic stationary distribution of the model via Lyapunov functions method. The results show that both stochastic noise and impulsive toxicant input have great effects on the survival and extinction of the microorganisms. Moreover, we provide a series of numerical simulations to illustrate the analytical results.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.038
      Issue No: Vol. 110 (2018)
  • Dynamical analysis of a delayed reaction-diffusion virus infection model
           with logistic growth and humoral immune impairment
    • Authors: Hui Miao; Xamxinur Abdurahman; Zhidong Teng; Long Zhang
      Pages: 280 - 291
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Hui Miao, Xamxinur Abdurahman, Zhidong Teng, Long Zhang
      In this paper, the dynamical analysis of a delayed reaction-diffusion virus infection model with logistic growth and chemotaxis for the uninfected target cells and humoral immune impairment is studied. By analyzing corresponding characteristic equations, the local stability of the infection-free equilibrium is established. The stability properties and Turing instability of the antibody-free equilibrium and antibody-present infection equilibrium have been extensively discussed. The existence of Hopf bifurcation with antibody response delay as a bifurcation parameter at the antibody-present infection equilibrium is established. The numerical simulations are carried out in order to illustrate the dynamical behavior of the model.

      PubDate: 2018-04-25T02:33:04Z
      DOI: 10.1016/j.chaos.2018.03.006
      Issue No: Vol. 110 (2018)
  • Analysis of 1:4 resonance in a monopoly model with memory
    • Authors: Pecora
      Abstract: Publication date: May 2018
      Source:Chaos, Solitons & Fractals, Volume 110
      Author(s): Nicolò Pecora
      Resonances generate complicated bifurcation sequences. To design a picture of the bifurcation sequence occurring in the presence of a particular strong resonance, the two-parameters bifurcation of the equilibrium of a monopoly model with gradient adjustment mechanism and log-concave demand function is analyzed. Locally, the equilibrium may be destabilized through a period doubling or a supercritical Neimark–Sacker bifurcation. From a global perspective, it is also shown that the model undergoes strong resonances, such as the resonance 1:4, by using a continuation procedure. One of the interesting issue to tackle for this resonance is the investigation of the heteroclinic bifurcations which occur when pairs of saddles form connections near the 1:4 resonance. Therefore, the global analysis, through the description of the phase portraits and the basins of attractions, illustrates the theoretical features associated with the resonance and display interesting and complex dynamical behaviors, like the emergence of square and clover orbits.

      PubDate: 2018-04-25T02:33:04Z
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