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  Subjects -> MATHEMATICS (Total: 886 journals)
    - APPLIED MATHEMATICS (72 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (656 journals)
    - MATHEMATICS (GENERAL) (42 journals)
    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (77 journals)

MATHEMATICS (656 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 22)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 7)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
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 Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 5)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 9)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 19)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 7)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)

        1 2 3 4 | 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  [3044 journals]
  • Influential nodes ranking in complex networks: An entropy-based approach
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Ahmad Zareie, Amir Sheikhahmadi, Adel Fatemi
      Measurement of the spreading capability of nodes has been one of the most attractive challenges in the field of social networks. Because of the huge number of nodes in a network, it has appealed to many researchers to find an accurate measure which can potentially detect the spreading capability and rankings of nodes. Most of the available methods determine the spreading capability of nodes based on their topological locations. In this paper, however, we have proposed a new measure based on the basic notions in information theory to detect the spreading capability of nodes in networks on the basis of their topological information. The simulation and experimental results of investigating real-world and artificial networks show that the proposed measure is more accurate and efficient than the similar ones.

      PubDate: 2017-09-20T07:44:35Z
       
  • Two-stage method for fractal dimension calculation of the mechanical
           equipment rough surface profile based on fractal theory
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Yao Liu, Yashun Wang, Xun Chen, Chunhua Zhang, Yuanyuan Tan
      The determination of fractal dimension of rough surface profile curve is important for characterizing the fractal features of rough surface microscopic topography. There are many methods to calculate the fractal dimension, such as the power spectrum method (PSM), the structure function method (SFM), the variation method, the R/S analysis method, the wavelet transform method and etc., among which the PSM and SFM are widely used methods. This study aims to improve the computational accuracy of the fractal dimension of the profile curve. For this purpose, the two-stage method based on PSM and SFM are proposed. Firstly, we analyze the principle of calculating the fractal dimension of profile curve using PSM and SFM. Then, based on PSM and SFM, we propose a two-stage method for determining the fractal dimension of profile curve. Simulation results show that the two-stage method for fractal dimension of profile curve can greatly reduce the error compared with the original PSM and SFM. Finally, the fractal dimensions of the profile curve of the cuboid specimen are calculated by the original PSM and SFM and the two-stage method respectively. The experimental results show that the proposed method provides more precise results for determining the fractal dimension.

      PubDate: 2017-09-20T07:44:35Z
       
  • Evolution of cooperation in a spatial structure with compensation
           mechanisms
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Peiyuan Sun, Xuesong Liu, Enze Wang, Mingfeng He, Qiuhui Pan
      We study the evolution of cooperation by modeling interactional individuals with compensation mechanism on a two-dimensional square lattice. In this model, the payoff to cooperators is the same no matter what types their neighbors are, while the payoff to defectors depends on whether there exists cooperative neighbor. In addition, cooperators will obtain some compensation from the payoffs of defectors. We find that a larger compensation coefficient in the model leads to the higher cooperation, which means the compensation mechanism partly promotes cooperation. In addition, the simulation results suggest that decreasing either the payoff of defectors without cooperative neighbors or the payoff of defectors with cooperative neighbors will promote cooperation.

      PubDate: 2017-09-20T07:44:35Z
       
  • Stochastic sensitivity analysis of nonautonomous nonlinear systems
           subjected to Poisson white noise
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Yahui Sun, Ling Hong, Jun Jiang
      The stochastic sensitivity function (SSF) method is extended to estimate the stationary probability distribution around periodic attractors of nonautonomous nonlinear dynamical systems subjected to Poisson white noise in this paper. After deriving the stochastic sensitivity functions of period-N cycle of mapping systems based on the characteristic of Poisson process, non-autonomous dynamical systems around periodic attractors are converted to mapping systems by constructing a stroboscopic map, and then the stochastic sensitivity functions of periodic attractors of nonautonomous nonlinear systems can be obtained by adopting the results of mapping systems. It is found that the stochastic sensitivity functions depend on the product of noise intensity and the arrival rate of Poisson processes. To illustrate the validity of the proposed method, a Henon map driven by Poisson processes and a Mathieu–Duffing oscillator under Poisson white noise are studied.

      PubDate: 2017-09-20T07:44:35Z
       
  • Dynamics of a pendulum driven by a DC motor and magnetically controlled
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): B. Nana, S.B. Yamgoué, R. Tchitnga, P. Woafo
      The paper is devoted to theoretical and experimental investigations of an electromechanical system consisting of DC motor, a physical pendulum with the repulsive magnets. The work consists of modeling, simulation and experimental measurements to validate the analytical predictions and the numerical simulation of the earlier introduced mathematical model. The parameters of the model are estimated using the experimental data. The analyzed system shows several types of non-linear effects, including hysteresis, jump phenomena, chaos and periodic dynamics. Good agreement between real and simulated behavior of the system is obtained.

      PubDate: 2017-09-02T06:10:12Z
       
  • Coevolution of game strategy and link weight promotes cooperation in
           structured population
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Chen Chu, Jinzhuo Liu, Chen Shen, Jiahua Jin, Yunxuan Tang, Lei Shi
      Evolutionary prisoner's dilemma game in structured populations on a weighted square lattice, on which the edge weight represents the relationship between agents and adaptively changes in time, has been proved to be an efficient way that can promote cooperation. In fact, such an adaptive link weight introduces a new time scale τa , not necessarily equal to the time scale of game strategy τ ɛ. Inspired from aforementioned above, we investigate the effect of w = τ ɛ τ a on the evolution of cooperative behavior. Through numerical simulation, we find cooperation can be promoted effectively with a larger value of w, which is related to the increase of average link weight in the structured population.

      PubDate: 2017-09-02T06:10:12Z
       
  • Pinning synchronization of fractional order complex-variable dynamical
           networks with time-varying coupling
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Dawei Ding, Jie Yan, Nian Wang, Dong Liang
      This paper investigates the synchronization of fractional order complex-variable dynamical networks with time-varying coupling. Based on information of the complex network's configuration, an effective adaptive pinning control strategy to adjust simultaneously coupling strength and feedback gain is designed. Besides, we also consider the synchronization in complex networks with time-varying coupling weight. By constructing suitable Lyapunov function and using the presented lemma, some sufficient criteria are derived to achieve the synchronization of fractional order complex-variable dynamical networks under the corresponding update law. The update law is only dependent on the states of the complex dynamical networks, which do not need any other information such as the characteristic of the uncoupled nodes of the networks. Further, the result extends the synchronization condition of the real-variable dynamical networks to the complex-valued field. Finally, the correctness and feasibility of the proposed theoretical results are verified by two examples of fractional complex-variable dynamic networks.

      PubDate: 2017-09-02T06:10:12Z
       
  • A new prediction model of infectious diseases with vaccination strategies
           based on evolutionary game theory
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Qiu Li, MingChu Li, Lin Lv, Cheng Guo, Kun Lu
      Infectious diseases have proven to be remarkably resilient foes of human health and so the prevention and control of infectious diseases have been attracting the attention of all countries over the world. Vaccination is an effective way to prevent the spread of infectious diseases. However, vaccination is a long-standing social dilemmas due to the vaccine’s risk by itself and the spread of infectious diseases in the population depends on not only the pathogen itself, but also the impact of social network structures. In this paper, we propose a new prediction model of infectious diseases with new vaccination strategies based on network structures and dynamic replicator. In our model, we consider not only the subsidies of vaccine failure but also the incentive strategy for medical treatment to promote individuals to take the initiative to vaccinate. At the same time, in decision-making phase, we use weighted average benefits of all participants to update their strategies due to individual difference. Simulation experiments show that the our proposed model is much effective and better than other existing models. We also use Jacobian matrix to prove the stability of dynamic equilibrium for our proposed model.

      PubDate: 2017-09-02T06:10:12Z
       
  • Pisot numbers and strong negations
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Enrique de Amo, Manuel Díaz Carrillo, Juan Fernández-Sánchez
      We introduce and study representation systems for the numbers in the unit interval [0, 1]. We call them ϕm -systems (where ϕm is a pseudo-golden ratio). With the aid of these representation systems, we define a family hm of strong negations and an increasing function gm which is the inverse of the generator of hm . The functions hm and gm are singular, and we study several properties; among which we calculate the Hausdorff dimensions of certain sets that are related to them. Finally, we prove that gm is an infinite convolution, and the sequence of coefficients in the Fourier series of its associated Stieltjes measure does not converge to zero.

      PubDate: 2017-09-02T06:10:12Z
       
  • A novel approach to approximate fractional derivative with uncertain
           conditions
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): A. Ahmadian, S. Salahshour, M. Ali-Akbari, F. Ismail, D. Baleanu
      This paper focuses on providing a new scheme to find the fuzzy approximate solution of fractional differential equations (FDEs) under uncertainty. The Caputo-type derivative base on the generalized Hukuhara differentiability is approximated by a linearization formula to reduce the corresponding uncertain FDE to an ODE under fuzzy concept. This new approach may positively affect on the computational cost and easily apply for the other types of uncertain fractional-order differential equation. The performed numerical simulations verify the proficiency of the presented scheme.

      PubDate: 2017-09-02T06:10:12Z
       
  • Adaptive fuzzy impulsive synchronization of chaotic systems with random
           parameters
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Xingpeng Zhang, Dong Li, Xiaohong Zhang
      Randomness is a common phenomenon in nonlinear systems. And conditions to reach synchronization are more complex and difficult when chaotic systems have random parameters. So in this paper, an adaptive scheme for synchronization of chaotic system with random parameters by using the fuzzy impulsive method and combining the properties of Wiener process and Ito differential is investigated. The main concepts of this paper are applying fuzzy method to approximate the nonlinear part of system, then using Ito differential to study the Wiener process of random parameters of chaotic system, and realizing synchronization under fuzzy impulsive method. The stability is analyzed by Lyapunov stability theorem. At the end of the paper, numerical simulation is presented to illustrate the effectiveness of the results obtained in this paper.

      PubDate: 2017-09-02T06:10:12Z
       
  • The Shortest Synchronization Time with Optimal Fractional Order Value
           Using a Novel Chaotic Attractor Based on Secure Communication
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Ali Durdu, Yılmaz Uyaroğlu
      In this study, a novel three dimensional autonomous chaotic attractor was found and secure communication masking application was performed with optimal fractional order, which offers more precise and faster results than first order chaotic equations, via Pecaro Carroll synchronization algorithm. The shortest synchronization time was investigated with optimal fractional order value. In the novel secure communication synchronization application with fractional order chaotic system, there is an angle of 45° between the signals sent and received, which clearly shows that the system can be employed in secure communication.

      PubDate: 2017-09-02T06:10:12Z
       
  • On Lie symmetry analysis and invariant subspace methods of coupled time
           fractional partial differential equations
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): R. Sahadevan, P. Prakash
      Lie symmetry analysis and invariant subspace methods of differential equations play an important role separately in the study of fractional partial differential equations. The former method helps to derive point symmetries, symmetry algebra and admissible exact solution, while the later one determines admissible invariant subspace as well as to derive exact solution of fractional partial differential equations. In this article, a comparison between Lie symmetry analysis and invariant subspace methods is presented towards deriving exact solution of the following coupled time fractional partial differential equations: (i) system of fractional diffusion equation, (ii) system of fractional KdV type equation, (iii) system of fractional Whitham-Broer-Kaup’s type equation, (iv) system of fractional Boussinesq-Burgers equation and (v) system of fractional generalized Hirota-Satsuma KdV equation.

      PubDate: 2017-09-02T06:10:12Z
       
  • Synchronization of memristive BAM neural networks with leakage delay and
           additive time-varying delay components via sampled-data control
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Weiping Wang, Minghui Yu, Xiong Luo, Linlin Liu, Manman Yuan, Wenbing Zhao
      In this paper, the global asymptotic stability of memristive bidirectional associative memory neural networks with leakage delay and two additive time-varying delays is firstly studied. Then, we propose a novel sampled-data feedback controller to guarantee the synchronization of system based on drive/response concept. In particular, taking full advantage of the input delay approach, the Lyapunov function method and the Jensen’s inequality theory, several sufficient conditions are obtained. Finally, two numerical simulation examples show the effectiveness of the designed sampled-data control strategy. Furthermore, our results can be applied to simulate the associative memory function of brain-like robots, large-scale information storage, etc.

      PubDate: 2017-09-02T06:10:12Z
       
  • Asymmetric multifractal cross-correlations and time varying features
           between Latin-American stock market indices and crude oil market
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Gabriel Gajardo, Werner Kristjanpoller
      We apply MF-ADCCA to analyze the presence and asymmetry of the cross-correlations between Latin-American and US stock market indices and crude oil market. We find that multifractality exists in this cross-correlations, and that there is asymmetry on its behavior. The asymmetry degree changes accordingly to the series considered for the trend behavior. We find that fluctuation sizes greatly influence the asymmetry in the cross-correlation exponent, increasing for large fluctuations when we consider the trend of the crude oil price. We also find no clear differences in the exponents with different scales under different trends of the WTI, contrary to other studies in asymmetric scaling behavior. When we examine the time varying features of the asymmetry degree we find that the US indices show a consistent behavior in time for both trends, where the cross-correlation exponents tend to be larger for downward trends. On the other hand, given the more heterogeneous individual properties of Latin-American indices, the asymmetry behavior varies more depending on the trend considered.

      PubDate: 2017-09-02T06:10:12Z
       
  • Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon
           lattices using q-statistics
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Chris G. Antonopoulos, Charalampos Skokos, Tassos Bountis, Sergej Flach
      In the study of subdiffusive wave-packet spreading in disordered Klein–Gordon (KG) nonlinear lattices, a central open question is whether the motion continues to be chaotic despite decreasing densities, or tends to become quasi-periodic as nonlinear terms become negligible. In a recent study of such KG particle chains with quartic (4th order) anharmonicity in the on-site potential it was shown that q − Gaussian probability distribution functions of sums of position observables with q > 1 always approach pure Gaussians ( q = 1 ) in the long time limit and hence the motion of the full system is ultimately “strongly chaotic”. In the present paper, we show that these results continue to hold even when a sextic (6th order) term is gradually added to the potential and ultimately prevails over the 4th order anharmonicity, despite expectations that the dynamics is more “regular”, at least in the regime of small oscillations. Analyzing this system in the subdiffusive energy domain using q-statistics, we demonstrate that groups of oscillators centered around the initially excited one (as well as the full chain) possess strongly chaotic dynamics and are thus far from any quasi-periodic torus, for times as long as t = 10 9 .

      PubDate: 2017-09-02T06:10:12Z
       
  • Bubbling in a power electronic inverter: Onset, development and detection
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Viktor Avrutin, Jose D. Morcillo, Zhanybai T. Zhusubaliyev, Fabiola Angulo
      Power electronic DC/AC converters (inverters) play an important role in modern power engineering for a broad variety of applications including solar and wind energy systems as well as electric and hybrid cars drives. It is well known that the waveform of the output voltage (or current) of an inverter may be significantly distorted by phase restricted high frequency oscillations, frequently referred to as bubbling. However, the reasons leading to the appearance of this undesired effect are still not completely understood. Considering as an example a 2D model of a PWM H-bridge single-phase inverter, the present paper reports the appearance of two different kinds of bubbling. In the first case, the appearance of bubbling occurs suddenly and is related to the change of periodicity. We show that high-periodic, quasiperiodic and chaotic oscillations may exhibit bubbling, and also that solutions with and without bubbling may coexist. In the second case, the appearance of bubbling occurs gradually in the parameter domain where the investigated system undergoes border collisions of so-called persistence type. As a result, the appearance of the bubbling of the second kind does not change the periodicity of the motion but nevertheless disturbs the waveform. We discuss some differences in the properties of the second kind of bubbling from the first one, and present numerical techniques for its detection.

      PubDate: 2017-09-02T06:10:12Z
       
  • Bifurcations of spatiotemporal structures in a medium of FitzHugh–Nagumo
           neurons with diffusive coupling
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): I.A. Shepelev, D.V. Shamshin, G.I. Strelkova, T.E. Vadivasova
      We study the boundaries of existence of traveling waves and stationary spatial structures in an active medium model by varying the control parameters. The medium is represented by a ring of diffusively coupled FitzHugh–Nagumo neurons, which, when uncoupled, can demonstrate excitable, self-sustained oscillatory or bistable dynamics depending on control parameter values. The dynamical regimes realized in the medium are compared with those ones observed in an individual FitzHugh–Nagumo neuron. Possible bifurcations of traveling waves are analyzed when the dynamics of the medium elements changes. We also explore the influence of the relaxation level of FitzHugh–Nagumo neurons on the medium dynamics.

      PubDate: 2017-09-02T06:10:12Z
       
  • Transmission dynamics of a brucellosis model: Basic reproduction number
           and global analysis
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Can Li, Zun-Guang Guo, Zhi-Yu Zhang
      Brucellosis is a major problem worldwide in public health and existing work mainly focused on severity estimation based on the real data. However, global analysis on brucellosis transmission model is not well understood. In this paper, we presented a dynamical model of brucellosis transmission coupled with sheep and human populations and global analysis is shown based on Lyapunov functions. We found that the global dynamics of brucellosis model is determined by basic reproduction number R 0: if R 0 < 1, then the disease-free equilibrium is globally asymptotically stable; otherwise, the endemic equilibrium is globally asymptotically stable. We hope that our study may provide theoretical basis for the further work on brucellosis control.

      PubDate: 2017-09-02T06:10:12Z
       
  • Investigation and quantification of Phase coherence index for different
           types of forcing in DC glow discharge plasma
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Debajyoti Saha, Pankaj Kumar Shaw, Sabuj Ghosh, M.S. Janaki, A.N.S. Iyengar
      The evidence of finite nonlinear interaction in a DC glow discharge plasma has been demonstrated by estimating phase coherence index for different types external forcing techniques likewise noise, sinusoidal, square etc. The existence of finite phase coherence index i.e finite correlation prompts us to carry out nonlinearity analysis using delay vector variance (DVV). Finite nonlinear interaction obtained from phase coherence index values is observed to be predominant at a particular amplitude of square forcing which corroborates our nonlinearity analysis using DVV. Existence of phase coherence index has been demonstrated introducing continuous wavelet transform (CWT). Characterization of the difference in the phase distribution by the difference in the waveform in real space instead of dealing in Fourier space has been facilitated by introducing structure function or path length for different orders to study and identify the dynamical system. The expression of path length eventually enables us to evaluate the phase coherence index. The transition in the dynamics is observed through recurrence plot techniques which is an efficient method to observe the critical regime transitions in dynamics.

      PubDate: 2017-09-02T06:10:12Z
       
  • Dominating complex networks by identifying minimum skeletons
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Peng Gang Sun, Xiaoke Ma, Juan Chi
      By identifying important nodes (driver nodes), the minimum dominating set (MDS) provides an effective model to dominate complex networks. However, in many networks, the skeleton of driver nodes selected using the MDS is usually connected, which motivates us to explore a new framework and try to dominate a network by identifying its minimum skeleton. We define the minimum skeleton of a graph as a subgraph induced from the nodes within the minimum connected dominating set (MCDS), and the problem can be solved by a maximum spanning tree-based algorithm. For the domination of complex networks, in general, the MCDS needs more driver nodes, and is more robust than the MDS against link attack. Interestingly, for the MDS, it is harder to control the networks with weaker communities, while for the MCDS, this finding tends to be observed on the networks with homogeneous community sizes. In addition, for the MDS, the curves for the percentage of driver nodes on the networks with variable community strengths shift downward as the average degree of the networks increases, while for the MCDS, the curves, like power functions rotate clockwise. For the both, it tends to be harder to control the networks with stronger overlapping, and the number of driver nodes is dependent on the networks’ degree distribution.

      PubDate: 2017-09-02T06:10:12Z
       
  • On Assouad dimension of products
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Fengji Peng, Wen Wang, Shengyou Wen
      We prove that, given 0 ≤ β ≤ α and α ≤ λ ≤ β + α , there exist compact subsets X, Y of the Euclidean space R ⌈ α ⌉ such that dim A X = α , dim A Y = β and dim A ( X × Y ) = λ , where ⌈α⌉ is the smallest integer  ≥ α and dim A denotes Assouad dimension. In the proof an Assouad dimension formula for uniform Cantor sets is established.

      PubDate: 2017-09-02T06:10:12Z
       
  • The effect of high viscosity on the evolution of the bifurcation set of a
           periodically excited gas bubble
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Kálmán Klapcsik, Ferenc Hegedűs
      In this study, a nonlinear investigation of a periodically driven gas bubble in glycerine is presented. The bifurcation structure of the bubble oscillator (Keller–Miksis equation) is explored in the pressure amplitude-frequency parameter plane of the excitation by means of initial (high resolution bi-parametric plots) and boundary value problem solvers at various ambient temperatures. The range of the applied temperature covers two orders of magnitude difference in the liquid viscosity which is the main damping factor of the system. Therefore, the evolution of the harmonic and ultraharmonic resonances are presented starting with an overdamped behaviour (there are no resonances in the parameter space) and ending up with a fully developed bifurcation superstructure. The results reveal a complex period bubbling mechanism organized in a Farey-tree; inside each bubble a fine substructure of alternating chaotic and periodic bands exist. The description of the bifurcation structure presented throughout the paper can help to understand the mechanism of dissipation on the behaviour of nonlinear systems in more detail.

      PubDate: 2017-09-02T06:10:12Z
       
  • Comparison of two mean-field based theoretical analysis methods for SIS
           model
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Jiaquan Zhang, Dan Lu, Shunkun Yang
      Epidemic spreading has been intensively studied in SIS epidemic model. Although the mean-field theory of SIS model has been widely used in the research, there is a lack of comparative results between different theoretical calculations, and the differences between them should be systematically explained. In this paper, we have compared different theoretical solutions for mean-field theory and explained the underlying reason. We first describe the differences between different equations for mean-field theory in different networks. The results show that the difference between mean-field reaction equations is due to the different probability consideration for the infection process. This finding will help us to design better theoretical solutions for epidemic models.

      PubDate: 2017-09-02T06:10:12Z
       
  • Powering RLC load by an array of self-sustained oscillators
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): D. Youmbi Fouego, E.D. Dongmo, P. Woafo
      This work deals with the analysis of the voltage amplitude generated in a linear load by an array of Van der Pol (VDP) and Hindmarsh–Rose (HR) oscillators. For the array of Van der Pol oscillators, it is found that after a threshold number of oscillators under which the power is equal to zero, the power increases with the size of the array. A high order nonlinearity in the damping of the Van der Pol oscillator increases the power. In the case of the array of HR oscillators, it is shown that varying the coupling coefficient leads to the appearance of chaotic dynamics in the system. Contrary to the case of the VDP oscillators, it is found that the voltage amplitudes decrease when the size of the array of the HR oscillators increases. These results can be linked to the mechanism of biological oscillators powering biological organs.

      PubDate: 2017-09-02T06:10:12Z
       
  • Lyapunov analysis of the spatially discrete-continuous system dynamics
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Vladimir A. Maximenko, Alexander E. Hramov, Alexey A. Koronovskii, Vladimir V. Makarov, Dmitry E. Postnov, Alexander G. Balanov
      The spatially discrete-continuous dynamical systems, that are composed of a spatially extended medium coupled with a set of lumped elements, are frequently met in different fields, ranging from electronics to multicellular structures in living systems. Due to the natural heterogeneity of such systems, the calculation of Lyapunov exponents for them appears to be a challenging task, since the conventional techniques in this case often become unreliable and inaccurate. The paper suggests an effective approach to calculate Lyapunov exponents for discrete-continuous dynamical systems, which we test in stability analysis of two representative models from different fields. Namely, we consider a mathematical model of a 1D transferred electron device coupled with a lumped resonant circuit, and a phenomenological neuronal model of spreading depolarization, which involves 2D diffusive medium. We demonstrate that the method proposed is able reliably recognize regular, chaotic and hyperchaotic dynamics in the systems under study.

      PubDate: 2017-09-02T06:10:12Z
       
  • Data science for assessing possible tax income manipulation: The case of
           Italy
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Marcel Ausloos, Roy Cerqueti, Tariq A. Mir
      This paper explores a real-world fundamental theme under a data science perspective. It specifically discusses whether fraud or manipulation can be observed in and from municipality income tax size distributions, through their aggregation from citizen fiscal reports. The study case pertains to official data obtained from the Italian Ministry of Economics and Finance over the period 2007–2011. All Italian (20) regions are considered. The considered data science approach concretizes in the adoption of the Benford first digit law as quantitative tool. Marked disparities are found, - for several regions, leading to unexpected “conclusions”. The most eye browsing regions are not the expected ones according to classical imagination about Italy financial shadow matters.

      PubDate: 2017-09-02T06:10:12Z
       
  • A theorem for calculation of the appropriate sample size in an estimation
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Xue-feng Zhang, Feng-bao Yang, Xu-zhu Wang
      In 1982, Dubois and Prade investigated the relationship between belief function, plausibility function and basic probability assignment when the involved universe is finite. In this paper, the similar results on their relationships are obtained with a continuous universe. As an important facility to connect possibility distribution in continuous universes and discrete probability values, basic probability histogram is defined by means of measurement amplitude, which is a notion with both probability and possibility features. A theorem about how to calculate a suitable sample size for estimation is proposed based on the researches on basic probability histograms. Through the theorem, we can directly calculate the appropriate samples size for any population distribution. Even with small samples, a reasonable estimation can be obtained with a non-normal distribution.

      PubDate: 2017-09-02T06:10:12Z
       
  • Analysis of competitive infectious diseases with multiple strains
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Jian-Qin Qiao, Li Li
      As we all known, there are many kinds of strains for a disease. However, the transmission dynamics of such disease is far from being well understood. In this paper, we established a SIS multi-strain model on scale-free network and the dynamics of multi-strain disease was studied by mean-field method. It is proved that the disease-free equilibrium is globally asymptotically stable when the basic reproduction number R 0 < 1. It is proved that the equilibrium point with the largest basic reproduction number is globally stable. Our results indicate that competitive exclusion principle also holds for the disease with multiple strains.

      PubDate: 2017-09-02T06:10:12Z
       
  • A new method to identify influential nodes based on relative entropy
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Liguo Fei, Yong Deng
      How to identify influential nodes is still an open and vital issue in complex networks. To address this problem, a lot of centrality measures have been developed, however, only single measure is focused on by the existing studies, which has its own shortcomings. In this paper, a novel method is proposed to identify influential nodes using relative entropy and TOPSIS method, which combines the advantages of existing centrality measures. Because information flow spreads in different ways in different networks. In the specific network, the appropriate centrality measures should be considered to sort the nodes. In addition, the remoteness between the alternative and the positive/negetive ideal solution is redefined based on relative entropy, which is proven to be more effective in TOPSIS method. To demonstrate the effectiveness of the proposed method, four real networks are selected to conduct several experiments for identifying influential nodes, and the advantages of the method can be illustrated based on the experimental results.

      PubDate: 2017-09-02T06:10:12Z
       
  • Parameters tracking identification based on finite-time synchronization
           for multi-links complex network via periodically switch control
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Hui Zhao, Lixiang Li, Jinghua Xiao, Yixian Yang, Mingwen Zheng
      In this paper, a class of periodically switch control method is proposed to achieve finite-time parameters tracking identification and synchronization for multi-link complex networks. This periodically switch control is an optimal control, two convertible control intensities are given in a fixed period instead of continuous high control intensity. Meanwhile, we give an effective analysis for complex network model with multiple constant time-delays and time-varying delays, we overcome these difficulties of time-delays and unknown parameters. The parameters estimation, topological identification are achieved based on parameters tracking identification of drive-response networks. Meanwhile, the corresponding identification and synchronization criteria are obtained based on Lyapunov function, linear matrix inequality (LMI) and finite-time stability theory. Finally, numerical simulations are given to verify the effectiveness of our proposed method.

      PubDate: 2017-09-02T06:10:12Z
       
  • Vaccination strategies of an SIR pair approximation model with
           demographics on complex networks
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Li Liu, Xiaofeng Luo, Lili Chang
      Pair approximation model is an effective tool to study epidemic spread on complex networks. It can more accurately capture the effects of network structure on the spreading process. That then helps us grasp the spreading laws of epidemics on networks and further make effective prevention and control measures. Vaccination, an important measure for prevention and control of infectious disease, has made great achievements in public health. In this paper we study vaccination strategies with the help of pair approximation epidemic model with demographics. We firstly introduce constant vaccination into SIR pair approximation model. The reproduction number and endemic prevalence of disease are investigated, the critical vaccination rate which can help to control disease transmission is also given. Considering the restriction of financial resources, it is necessary to control disease transmission simultaneously to reduce vaccination cost. To this end, we further investigate optimal vaccination of SIR pair approximation model by use of optimal control theory. The existence of optimal solution is established and optimality system is derived. Finally, a series of stochastic simulations on different initial networks are performed to demonstrate our theoretical models and some numerical simulations are provided to observe and analyze different vaccination strategies.

      PubDate: 2017-09-02T06:10:12Z
       
  • Historical payoff promotes cooperation in the prisoner's dilemma game
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): Zhenghong Deng, Chunmiao Ma, Xudong Mao, Shenglan Wang, Zhenxi Niu, Li Gao
      Understanding the evolution of cooperation among selfish individuals remains a large challenge. Network reciprocity has been proved to be an efficient way that can promote cooperation and has spawned many studies focused on network. Traditional evolutionary games on graph assumes players updating their strategies based on their current payoff, however, historical payoff may also play an indispensable role in agent's decision making processes. Another unavoidable fact in real word is that not all players can know exactly their historical payoff. Based on these considerations, in this paper, we introduce historical payoff and use a tunable parameter u to control the agent's fitness between her current payoff and historical payoff. When u equals to zero, it goes back to the traditional version; while positive u incorporates historical payoff. Besides, considering the limited knowledge of individuals, the structured population is divided into two types. Players of type A, whose proportion is v, calculate their fitness using historical and current payoff. And for players of type B, whose proportion is 1 − v , their fitness is merely determined by their current payoff due to the limited knowledge. Besides, the proportion of these types keeps unchanged during the simulations. Through numerous simulations, we find that historical payoff can promote cooperation. When the contribution of historical payoff to the fitness is larger, the facilitating effect becomes more striking. Moreover, the larger the proportion of players of type A, the more obvious this promoting effect seems.

      PubDate: 2017-08-03T08:41:28Z
       
  • Watermarking based on discrete wavelet transform and q-deformed chaotic
           map
    • Abstract: Publication date: November 2017
      Source:Chaos, Solitons & Fractals, Volume 104
      Author(s): S. Behnia, M. Yahyavi, R. Habibpourbisafar
      Hierarchy of one-dimensional ergodic chaotic maps with Tsallis type of q-deformation are studied. We find that in the chaotic region, these maps with q-deformation are ergodic as the Birkhoff ergodic theorem predicts. q-deformed maps are defined as ratios of polynomials of degree N. Hence, by using the Stieltjes transform approach (STA), invariant measure is proposed. In addition, considering Sinai-Ruelle-Bowen (SRB) measure, Kolmogorov-Sinai (KS) entropy for q-deformed maps is calculated analytically. The new q-deformed scheme have ability to keep previous significant properties such as ergodicity, sensitivity to initial condition. By adding q-parameter to the hierarchy in order increase the randomness and one-way computation, we present a new scheme for watermarking. The introduced algorithm tries to improve the problem of failure of encryption such as small key space, encryption speed and level of security. To illustrate the effectiveness of the proposed scheme, some security analyses are presented. By considering the obtained results, it can be concluded that, this scheme have a high potential to be adopted for watermarking. It can be concluded that, the proposed novel watermarking scheme for image authentication can be applied for practical applications.

      PubDate: 2017-08-03T08:41:28Z
       
  • Exploring inventory order policies impact under the non-negative
           constraint of order quantity: System stability, service level, and cost
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Zhuoqun Li, Shiwei Sun, Yongchun Huang
      Considering the non-negative constraint of order quantity, this study explored inventory system performance, including system stability, service level, inventory cost, and the effect of transportation delay time. Both the non-negative constraint and delay time render the system nonlinear and complicated, which makes it difficult to identify optimal order policy regions that combine system stability with a high service level and low cost. The purpose of this study is to systematically reflect the impact of order policies on inventory system performance from three aspects, including system stability, service level, and cost. The results of the simulation revealed the existence of public optimal order policies for different transportation delay times. Although these optimal order policies are similar when the target inventory parameter changes, lowering the target inventory parameter can also lower the inventory cost. If an appropriate order policy can be adopted, a low target inventory reduces inventory cost while maintaining system stability and a high service level, opening up new options for decision makers in supply chain management.

      PubDate: 2017-06-11T10:34:00Z
       
  • A space-time fractional derivative model for European option pricing with
           transaction costs in fractal market
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Lina Song
      From the point of view of fractional calculus and fractional differential equation, the work handles European option pricing problems with transaction costs in fractal market. Under the definition of the modified Riemman-Liouville fractional derivative, the pricing model based on a space-time fractional patrial differential equation is presented by the replicating portfolio, containing the Hurst exponent taken as the order of fractional derivative. And then, European call and put options are constructed and calculated by the enhanced technique of Adomian decomposition method under the finite difference frame. The fractional derivative model is finally tested by the data from the option market.

      PubDate: 2017-06-11T10:34:00Z
       
  • A reliable numerical algorithm for the fractional vibration equation
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Harendra Singh, H.M. Srivastava, Devendra Kumar
      The key purpose of this article is to introduce a numerical algorithm for the solution of the fractional vibration equation (FVE). The numerical algorithm is based on the applications of the operational matrices of the Legendre scaling functions. The main advantage of the numerical algorithm is that it reduces the FVE into Sylvester form of algebraic equations which significantly simplify the problem. Error as well as convergence analysis of the proposed scheme are shown. Numerical results are discussed taking different initial conditions and wave velocities involved in the problem. Numerical results obtained by using suggested numerical algorithm are compared with the existing analytical methods for the different cases of FVE.

      PubDate: 2017-06-11T10:34:00Z
       
  • Electromagnetic soliton propagation in a spin torque helimagnet
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Saravanan M., Emmanuel Yomba
      We study the nonlinear dynamics of the electromagnetic wave propagation in a spin-torque driven helimagnet which accounts for the fundamental magnetic interactions. The dynamical Landau–Lifshitz equation includes the magnetic spin exchange, anisotropy, helimagnetic spin coupling through the anti-symmetric Dzyaloshinskii–Moriya interaction driven by the applied electric current density. The electromagnetic wave propagation is governed by the Maxwell equation with the induced current density factor. On the basis of the reductive perturbation method, we present a higher order nonlinear Schrödinger (NLS) equation as a reduction of the Maxwell–Landau model. Through the direct ansatz method, we derive a set of solutions for the NLS equation. These solutions include bright, dark and kink or front soliton solutions for certain specific conditions imposed on the spin-torque helimagnet.

      PubDate: 2017-06-11T10:34:00Z
       
  • Hidden chaotic sets in a Hopfield neural system
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Marius-F. Danca, Nikolay Kuznetsov
      In this paper we unveil the existence of hidden chaotic sets in a simplified Hopfield neural network with three neurons. It is shown that beside two stable cycles, the system presents hidden chaotic attractors and also hidden chaotic transients which, after a relatively long life-time, fall into regular motions along the stable cycles.

      PubDate: 2017-06-11T10:34:00Z
       
  • Analysis of vibration characteristics and adaptive continuous perturbation
           control of some torsional vibration system with backlash
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Shuang Liu, Hongling Ai, Zhenjun Lin, Zong Meng
      The dynamic equation of some nonlinear torsional vibration system with two masses is established, which contains backlash. In the case of primary resonance, the frequency response equation of the system is deduced with the modified Lindstedt–Poincare method combined with the multiple scales method. The influence of the backlash change on the amplitude of the torsional vibration system is analyzed by the amplitude frequency response map, and by using the method of numerical analysis, the influence of the backlash change on the system entering the chaotic motion is analyzed by bifurcation diagram, the maximum Lyapunov exponent map, phase diagram and Poincare map. After adding the method of the adaptive continuous perturbation control, the amplitude of the system decreases, and there is a transformation from chaotic motion to periodic motion.

      PubDate: 2017-06-11T10:34:00Z
       
  • A priori estimates for weak solution for a time-fractional nonlinear
           reaction-diffusion equations with an integral condition
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Oussaeif Taki-Eddine, Bouziani Abdelfatah
      In this paper, we establish sufficient conditions for the existence and uniqueness of the solution in functional weighted Sobolev space for a class of initial-boundary value problems with integral condition for a class of nonlinear partial fractional reaction-diffusion (RD) equations. The results are established by using a priori estimate in Bouziani fractional spaces and applying an iterative process based on results obtained for the linear problem, we prove the existence, uniqueness of the weak generalized solution of the nonlinear problem.

      PubDate: 2017-06-06T10:18:00Z
       
  • Application of chaotic krill herd algorithm for optimal power flow with
           direct current link placement problem
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Dharmbir Prasad, Aparajita Mukherjee, V. Mukherjee
      In this paper, a real parameter metaheuristic optimization algorithm (named as chaotic krill herd algorithm (KHA) (CKHA)) is analyzed to solve optimal power flow (OPF) based DC link placement problem. The present study appears to be well capable for replacement of the existing transmission lines by direct current (DC) links to have more secured, flexible and economical operation. DC link equations are incorporated into the conventional OPF problem for the solution of this type of problem. The IEEE 30-bus and IEEE 57-bus test power systems are used to demonstrate the performance of the proposed CKHA. The simulation results obtained from both KHA and CKHA techniques are compared to other recent evolutionary optimization techniques surfaced in the recent state-of-the-art literature. It is revealed that the proposed approach secures better consequence over the other newly originated popular optimization techniques (including basic KHA) and reflects its improved quality solutions and faster convergence speed.

      PubDate: 2017-06-06T10:18:00Z
       
  • A new evidential methodology of identifying influential nodes in complex
           networks
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Tian Bian, Yong Deng
      In the field of complex networks, how to identify influential nodes in complex networks is still an open research topic. In the existing evidential centrality (EVC), the global structure information in complex networks is not taken into consideration. In addition, EVC also has the limitation that only can be applied on weighted networks. In this paper, a New Evidential Centrality (NEC) is proposed by modifying the Basic Probability Assignment (BPA) strength generated by EVC. According to the shortest paths between the nodes in the network rather than just considering local information, some other BPAs are constructed. With a modified combination rule of Dempster–Shafer evidence theory, the new centrality measure is determined. Numerical examples are used to illustrate the efficiency of the proposed method.

      PubDate: 2017-06-06T10:18:00Z
       
  • Some density results of relative multifractal analysis
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Najmeddine Attia, Bilel Selmi, Chouhaïd Souissi
      In this paper, we establish some density results related to the multifractal generalization of the centered Hausdorff and packing measures. We also focus on the exact dimensions of locally finite and Borel regular measures. We, then, apply these theories to a class of Moran sets satisfying the strong separation condition.

      PubDate: 2017-06-01T14:35:12Z
       
  • Nonlinear electromechanical energy harvesters with fractional inductance
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): O. Foupouapouognigni, C. Nono Dueyou Buckjohn, M. Siewe Siewe, C. Tchawoua
      In this paper, an electromechanical energy harvesting system exhibiting the fractional properties and subjected to the harmonic excitation is investigated. The main objective of this paper is to discuss the system performance with parametric coupling and fractional derivative. The dynamic of the system is presented, plotting bifurcation diagram, poincaré map, power spectral density and phase portrait. These results are confirmed by using 0 − 1 test. The harmonic balance method is used with the goal to provide the analytical response of the electromechanical system. The numerical simulation validates the results obtained by this analytical technique. In addition, replacing the harmonic by the random excitation, the impact of noise intensity, the fractional order derivatives κ and the amplitude of the parametric coupling γ is investigated in detail. It points out from these results that for the best choice of D, κ and γ, the output power can be improved.

      PubDate: 2017-06-01T14:35:12Z
       
  • Dynamics of cytotoxic T-lymphocytes and helper cells in human
           immunodeficiency virus infection with Hill-type infection rate and
           sigmoidal CTL expansion
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Nandadulal Bairagi, Debadatta Adak
      Clinical studies show intra-patient variability of real time data of host cells and virus particles in case of HIV infection. However, basic HIV models do not show oscillations unless self-proliferation of host cells is considered. Extended basic models with immune response also do not show oscillations unless delay is considered. In this study we investigate whether oscillations can be the result of immune response alone in a more realistic model in absence of delay and without self-proliferation of host cells. For this purpose, we study the interaction of host cells, virus specific T-lymphocytes and human immunodeficiency virus with generalized infection rate and sigmoidal function for CTL expansion in presence and absence of self-proliferation of helper cells. Stability and instability of both systems are determined with respect to the parameter that measures the virus replication. It is shown that an otherwise stable interior equilibrium of the system without or with self-proliferation may be unstable and show oscillations in presence of immune response. More specifically, the interior equilibrium of both systems may switch its stability more than once in presence of immune response. Our analysis indicates that immune response alone may be responsible for producing oscillations and thus exhibit intra-patient variability of host cells and virus particles in vivo non-delayed HIV models in presence or absence of self-proliferation of host cells.

      PubDate: 2017-06-01T14:35:12Z
       
  • Improved delay-dependent robust passivity criteria for uncertain neural
           networks with discrete and distributed delays
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Zhiwen Chen, Xin Wang, Shouming Zhong, Jun Yang
      This paper studies the problem of delay-dependent passivity for uncertain neural networks (UNNs) with discrete and distributed delays. Without considering free weighting matrices and multiple integral terms, which may cause more numbers of linear matrix inequalities (LMIs) and scalar decision variables. By constructing a suitable Lyapunov–Krasovskii functional (LKF) and combining with the reciprocally convex approach, some sufficient conditions are established in terms of LMIs. Compared with existing results, the derived criteria are more effective due to the application of delay partitioning approach which takes a full consideration of all available information in various delay intervals. Two simulation examples are given to illustrate the effectiveness of the proposed method.

      PubDate: 2017-06-01T14:35:12Z
       
  • Impacts of additional food on diffusion induced instabilities in a
           predator-prey system with mutually interfering predator
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Santu Ghorai, Swarup Poria
      In this paper, diffusion driven pattern forming instabilities in a predator-prey system with mutually interfering predators described by the Beddington-DeAngelis type functional response, are investigated in the presence of additional food for predators. Conditions for Hopf, Turing and wave instabilities are investigate around the coexisting equilibrium point analytically. Numerical simulation results are presented to show different types of spot, stripe and their mixture patterns. Different spatial domains in the parameter space are plotted. The existence and non-existence of positive, non-constant, steady states of the reaction-diffusion model are established. It is observed that spatio-temporal pattern of a predator prey system can change significantly depending upon the parameters related to additional food. We can conclude from our study, that the reasons of appearance of different spatio-temporal patterns in the real life ecological systems may be due to variation of additional food.

      PubDate: 2017-06-01T14:35:12Z
       
  • Classification of parameter spaces for a reaction-diffusion model on
           stationary domains
    • Abstract: Publication date: October 2017
      Source:Chaos, Solitons & Fractals, Volume 103
      Author(s): Wakil Sarfaraz, Anotida Madzvamuse
      This paper explores the classification of parameter spaces for reaction-diffusion systems of two chemical species on stationary rectangular domains. The dynamics of the system are explored both in the absence and presence of diffusion. The parameter space is fully classified in terms of the types and stability of the uniform steady state. In the absence of diffusion the results on the classification of parameter space are supported by simulations of the corresponding vector-field and some trajectories of the phase-plane around the uniform steady state. In the presence of diffusion, the main findings are the quantitative analysis relating the domain-size with the reaction and diffusion rates and their corresponding influence on the dynamics of the reaction-diffusion system when perturbed in the neighbourhood of the uniform steady state. Theoretical predictions are supported by numerical simulations both in the presence as well as in the absence of diffusion. Conditions on the domain size with respect to the diffusion and reaction rates are related to the types of diffusion-driven instabilities namely Turing, Hopf and Transcritical types of bifurcations. The first condition is a lower bound on the area of a rectangular domain in terms of the diffusion and reaction rates, which is necessary for Hopf and Transcritical bifurcation to occur. The second condition is an upper bound on the area of domain in terms of reaction-diffusion rates that restricts the diffusion-driven instability to Turing type behaviour, whilst forbidding the existence of Hopf and Transcritical bifurcation. Theoretical findings are verified by the finite element solution of the coupled system on a two dimensional rectangular domain.

      PubDate: 2017-06-01T14:35:12Z
       
 
 
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