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  Subjects -> COMPUTER SCIENCE (Total: 2016 journals)
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    - COMPUTER SCIENCE (1175 journals)
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COMPUTER SCIENCE (1175 journals)                  1 2 3 4 5 6 | Last

Showing 1 - 200 of 872 Journals sorted alphabetically
3D Printing and Additive Manufacturing     Full-text available via subscription   (Followers: 16)
Abakós     Open Access   (Followers: 4)
ACM Computing Surveys     Hybrid Journal   (Followers: 24)
ACM Journal on Computing and Cultural Heritage     Hybrid Journal   (Followers: 9)
ACM Journal on Emerging Technologies in Computing Systems     Hybrid Journal   (Followers: 13)
ACM Transactions on Accessible Computing (TACCESS)     Hybrid Journal   (Followers: 4)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Applied Perception (TAP)     Hybrid Journal   (Followers: 6)
ACM Transactions on Architecture and Code Optimization (TACO)     Hybrid Journal   (Followers: 9)
ACM Transactions on Autonomous and Adaptive Systems (TAAS)     Hybrid Journal   (Followers: 7)
ACM Transactions on Computation Theory (TOCT)     Hybrid Journal   (Followers: 12)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Computer Systems (TOCS)     Hybrid Journal   (Followers: 19)
ACM Transactions on Computer-Human Interaction     Hybrid Journal   (Followers: 15)
ACM Transactions on Computing Education (TOCE)     Hybrid Journal   (Followers: 6)
ACM Transactions on Design Automation of Electronic Systems (TODAES)     Hybrid Journal   (Followers: 2)
ACM Transactions on Economics and Computation     Hybrid Journal  
ACM Transactions on Embedded Computing Systems (TECS)     Hybrid Journal   (Followers: 4)
ACM Transactions on Information Systems (TOIS)     Hybrid Journal   (Followers: 21)
ACM Transactions on Intelligent Systems and Technology (TIST)     Hybrid Journal   (Followers: 8)
ACM Transactions on Interactive Intelligent Systems (TiiS)     Hybrid Journal   (Followers: 4)
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)     Hybrid Journal   (Followers: 10)
ACM Transactions on Reconfigurable Technology and Systems (TRETS)     Hybrid Journal   (Followers: 7)
ACM Transactions on Sensor Networks (TOSN)     Hybrid Journal   (Followers: 9)
ACM Transactions on Speech and Language Processing (TSLP)     Hybrid Journal   (Followers: 10)
ACM Transactions on Storage     Hybrid Journal  
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 25)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 3)
Acta Universitatis Cibiniensis. Technical Series     Open Access  
Ad Hoc Networks     Hybrid Journal   (Followers: 11)
Adaptive Behavior     Hybrid Journal   (Followers: 11)
Advanced Engineering Materials     Hybrid Journal   (Followers: 26)
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
Advances in Adaptive Data Analysis     Hybrid Journal   (Followers: 7)
Advances in Artificial Intelligence     Open Access   (Followers: 16)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 6)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 18)
Advances in Computer Science : an International Journal     Open Access   (Followers: 15)
Advances in Computing     Open Access   (Followers: 2)
Advances in Data Analysis and Classification     Hybrid Journal   (Followers: 52)
Advances in Engineering Software     Hybrid Journal   (Followers: 27)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 11)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 27)
Advances in Human-Computer Interaction     Open Access   (Followers: 21)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Remote Sensing     Open Access   (Followers: 41)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Advances in Technology Innovation     Open Access   (Followers: 4)
AEU - International Journal of Electronics and Communications     Hybrid Journal   (Followers: 8)
African Journal of Information and Communication     Open Access   (Followers: 8)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Air, Soil & Water Research     Open Access   (Followers: 9)
AIS Transactions on Human-Computer Interaction     Open Access   (Followers: 6)
Algebras and Representation Theory     Hybrid Journal   (Followers: 1)
Algorithms     Open Access   (Followers: 11)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Computational Mathematics     Open Access   (Followers: 4)
American Journal of Information Systems     Open Access   (Followers: 5)
American Journal of Sensor Technology     Open Access   (Followers: 4)
Anais da Academia Brasileira de Ciências     Open Access   (Followers: 2)
Analog Integrated Circuits and Signal Processing     Hybrid Journal   (Followers: 7)
Analysis in Theory and Applications     Hybrid Journal   (Followers: 1)
Animation Practice, Process & Production     Hybrid Journal   (Followers: 5)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of Software Engineering     Hybrid Journal   (Followers: 13)
Annual Reviews in Control     Hybrid Journal   (Followers: 6)
Anuario Americanista Europeo     Open Access  
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applied and Computational Harmonic Analysis     Full-text available via subscription   (Followers: 1)
Applied Artificial Intelligence: An International Journal     Hybrid Journal   (Followers: 13)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Clinical Informatics     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Computer Systems     Open Access   (Followers: 2)
Applied Informatics     Open Access  
Applied Mathematics and Computation     Hybrid Journal   (Followers: 33)
Applied Medical Informatics     Open Access   (Followers: 10)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Soft Computing     Hybrid Journal   (Followers: 15)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Applied System Innovation     Open Access  
Architectural Theory Review     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives and Museum Informatics     Hybrid Journal   (Followers: 137)
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Artifact     Hybrid Journal   (Followers: 2)
Artificial Life     Hybrid Journal   (Followers: 7)
Asia Pacific Journal on Computational Engineering     Open Access  
Asia-Pacific Journal of Information Technology and Multimedia     Open Access   (Followers: 1)
Asian Journal of Computer Science and Information Technology     Open Access  
Asian Journal of Control     Hybrid Journal  
Assembly Automation     Hybrid Journal   (Followers: 2)
at - Automatisierungstechnik     Hybrid Journal   (Followers: 1)
Australian Educational Computing     Open Access   (Followers: 1)
Automatic Control and Computer Sciences     Hybrid Journal   (Followers: 4)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Automatica     Hybrid Journal   (Followers: 11)
Automation in Construction     Hybrid Journal   (Followers: 6)
Autonomous Mental Development, IEEE Transactions on     Hybrid Journal   (Followers: 9)
Basin Research     Hybrid Journal   (Followers: 5)
Behaviour & Information Technology     Hybrid Journal   (Followers: 52)
Big Data and Cognitive Computing     Open Access  
Biodiversity Information Science and Standards     Open Access  
Bioinformatics     Hybrid Journal   (Followers: 287)
Biomedical Engineering     Hybrid Journal   (Followers: 15)
Biomedical Engineering and Computational Biology     Open Access   (Followers: 14)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 18)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 34)
Briefings in Bioinformatics     Hybrid Journal   (Followers: 47)
British Journal of Educational Technology     Hybrid Journal   (Followers: 138)
Broadcasting, IEEE Transactions on     Hybrid Journal   (Followers: 10)
c't Magazin fuer Computertechnik     Full-text available via subscription   (Followers: 2)
CALCOLO     Hybrid Journal  
Calphad     Hybrid Journal  
Canadian Journal of Electrical and Computer Engineering     Full-text available via subscription   (Followers: 14)
Capturing Intelligence     Full-text available via subscription  
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
Cell Communication and Signaling     Open Access   (Followers: 2)
Central European Journal of Computer Science     Hybrid Journal   (Followers: 5)
CERN IdeaSquare Journal of Experimental Innovation     Open Access   (Followers: 1)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chemometrics and Intelligent Laboratory Systems     Hybrid Journal   (Followers: 14)
ChemSusChem     Hybrid Journal   (Followers: 7)
China Communications     Full-text available via subscription   (Followers: 7)
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
CIN Computers Informatics Nursing     Full-text available via subscription   (Followers: 11)
Circuits and Systems     Open Access   (Followers: 15)
Clean Air Journal     Full-text available via subscription   (Followers: 2)
CLEI Electronic Journal     Open Access  
Clin-Alert     Hybrid Journal   (Followers: 1)
Cluster Computing     Hybrid Journal   (Followers: 1)
Cognitive Computation     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Communication Methods and Measures     Hybrid Journal   (Followers: 12)
Communication Theory     Hybrid Journal   (Followers: 20)
Communications Engineer     Hybrid Journal   (Followers: 1)
Communications in Algebra     Hybrid Journal   (Followers: 3)
Communications in Partial Differential Equations     Hybrid Journal   (Followers: 3)
Communications of the ACM     Full-text available via subscription   (Followers: 55)
Communications of the Association for Information Systems     Open Access   (Followers: 18)
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering     Hybrid Journal   (Followers: 3)
Complex & Intelligent Systems     Open Access   (Followers: 1)
Complex Adaptive Systems Modeling     Open Access  
Complex Analysis and Operator Theory     Hybrid Journal   (Followers: 2)
Complexity     Hybrid Journal   (Followers: 6)
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Computación y Sistemas     Open Access  
Computation     Open Access  
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 and Structural Biotechnology Journal     Open Access   (Followers: 2)
Computational and Theoretical Chemistry     Hybrid Journal   (Followers: 9)
Computational Astrophysics and Cosmology     Open Access   (Followers: 1)
Computational Biology and Chemistry     Hybrid Journal   (Followers: 11)
Computational Chemistry     Open Access   (Followers: 2)
Computational Cognitive Science     Open Access   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Condensed Matter     Open Access  
Computational Ecology and Software     Open Access   (Followers: 9)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Geosciences     Hybrid Journal   (Followers: 15)
Computational Linguistics     Open Access   (Followers: 22)
Computational Management Science     Hybrid Journal  
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Molecular Bioscience     Open Access   (Followers: 2)
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computational Particle Mechanics     Hybrid Journal   (Followers: 1)
Computational Research     Open Access   (Followers: 1)
Computational Science and Discovery     Full-text available via subscription   (Followers: 2)
Computational Science and Techniques     Open Access  
Computational Statistics     Hybrid Journal   (Followers: 14)
Computational Statistics & Data Analysis     Hybrid Journal   (Followers: 30)
Computer     Full-text available via subscription   (Followers: 91)
Computer Aided Surgery     Hybrid Journal   (Followers: 5)
Computer Applications in Engineering Education     Hybrid Journal   (Followers: 8)
Computer Communications     Hybrid Journal   (Followers: 10)
Computer Engineering and Applications Journal     Open Access   (Followers: 5)
Computer Journal     Hybrid Journal   (Followers: 9)
Computer Methods in Applied Mechanics and Engineering     Hybrid Journal   (Followers: 22)
Computer Methods in Biomechanics and Biomedical Engineering     Hybrid Journal   (Followers: 12)
Computer Methods in the Geosciences     Full-text available via subscription   (Followers: 2)
Computer Music Journal     Hybrid Journal   (Followers: 18)
Computer Physics Communications     Hybrid Journal   (Followers: 6)
Computer Science - Research and Development     Hybrid Journal   (Followers: 8)
Computer Science and Engineering     Open Access   (Followers: 19)
Computer Science and Information Technology     Open Access   (Followers: 13)

        1 2 3 4 5 6 | 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  [3120 journals]
  • Spike-timing-dependent plasticity optimized coherence resonance and
           synchronization transitions by autaptic delay in adaptive scale-free
           neuronal networks
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Huijuan Xie, Yubing Gong, Baoying Wang
      In this paper, we numerically study the effect of spike-timing-dependent plasticity on multiple coherence resonance and synchronization transitions induced by autaptic time delay in adaptive scale-free Hodgkin–Huxley neuron networks. As the adjusting rate Ap of spike-timing-dependent plasticity increases, multiple coherence resonance and synchronization transitions enhance and become strongest at an intermediate Ap value, indicating that there is optimal spike-timing-dependent plasticity that can most strongly enhance the multiple coherence resonance and synchronization transitions. As Ap increases, increasing network average degree has a small effect on multiple coherence resonance, but its effect on synchronization transitions changes from suppressing to enhancing it. As network size is varied, multiple coherence resonance and synchronization transitions nearly do not change. These results show that spike-timing-dependent plasticity can simultaneously optimize multiple coherence resonance and synchronization transitions by autaptic delay in the adaptive scale-free neuronal networks. These findings provide a new insight into spike-timing-dependent plasticity and autaptic delay for the information processing and transmission in neural systems.

      PubDate: 2018-02-05T16:17:15Z
  • Stochastic resonance in a time polo-delayed asymmetry bistable system
           driven by multiplicative white noise and additive color noise
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Peiming Shi, Haifeng Xia, Dongying Han, Rongrong Fu, Danzhen Yuan
      Stochastic resonance (SR) in a time polo-delayed asymmetry bistable system driven by multiplicative white noise and additive color noise is investigated in this paper. First, the effective potential function is deduced based on probability density approach theory, small delay approximation theory and colored noise approximation theory. Second, the mean first-passage time (MFPT) which plays an important role in investigating on particles escape rate is derived and we find that the effect of additive color noise is more observable than that of multiplicative white noise on MFPT. Finally, influences of different parameters on SR are studied by signal-to-noise ratio (SNR). The analytic expression of SNR is derived and three-dimensional graphs of SNR with different parameters are obtained. We conclude that time delay τ and time delay strength e can suppress SR and that asymmetric item r has a non-monotone effect on SR. The results also suggest that adjusting the additive noise intensity Q is more sensitive than that of the multiplicative noise intensity D in controlling SNR.

      PubDate: 2018-02-05T16:17:15Z
  • The route to synchrony via drum head mode and mixed oscillatory state in
           star coupled Hindmarsh–Rose neural network
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): K. Usha, P.  A. Subha, Chitra R. Nayak
      Network of coupled oscillators exhibit different types of spatiotemporal patterns. We report that as the coupling strength increases the unidirectionally coupled Hindmarsh–Rose neuron star network will synchronize. The condition for synchronization has been evaluated using Lyapunov function method. We also discuss the dynamics of the system in the presence of controllers. The control input generate interesting behaviors which consist of clusters of spatially coherent domains depending on the coupling strength. Drum head mode, mixed oscillatory state, desynchrony, and multi cluster states are formed and cluster reduction takes place before settling to complete synchrony. The evolution of a perfectly synchronized state via drum head mode, mixed oscillatory state, and clusters from a desynchronized state is reported for the first time. The parameter values which lead to stable cluster formation is also discussed. Our results suggest that in the presence of controllers the common oscillator in the star network behaves as a driver and generates the transitions and cluster formation acts as a precursor to complete synchrony in Hindmarsh–Rose model with unidirectional star coupling.

      PubDate: 2018-02-05T16:17:15Z
  • Allee effect induced diversity in evolutionary dynamics
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Aman Dhiman, Swarup Poria
      Cyclic dominance is observed in predator-prey interactions, the mating strategy of side-blotched lizards, the overgrowth of marine sessile organisms and competition in microbial populations and many other natural systems. Rock-Paper-Scissor(RPS) is a popular game which demonstrates cyclic dominance. In this paper, we investigate replicator dynamics of RPS-game under logistic growth functions with Allee effect. The results obtained are compared with the case of no Allee effect. Due to Allee effect the number of stable attractors increases in a certain parameter region. The obtained result can be interpreted biologically that diversity of an ecological system increases due to Allee effect.

      PubDate: 2018-02-05T16:17:15Z
  • Generalized Tikhonov methods for an inverse source problem of the
           time-fractional diffusion equation
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Yong-Ki Ma, P. Prakash, A. Deiveegan
      In this paper, we identify the unknown space-dependent source term in a time-fractional diffusion equation with variable coefficients in a bounded domain where additional data are consider at a fixed time. Using the generalized and revised generalized Tikhonov regularization methods, we construct regularized solutions. Convergence estimates for both methods under an a-priori and a-posteriori regularization parameter choice rules are given, respectively. Numerical example shows that the proposed methods are effective and stable.

      PubDate: 2018-02-05T16:17:15Z
  • Fixed-time synchronization of hybrid coupled networks with time-varying
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Chuan Chen, Lixiang Li, Haipeng Peng, Jürgen Kurths, Yixian Yang
      In this paper, we study the fixed-time synchronization of hybrid coupled networks, which have only one transmittal delay in the delayed coupling terms. The settling time of fixed-time synchronization can be adjusted to some desired values in advance regardless of the initial conditions. By constructing suitable Lyapunov functions and designing delay-dependent feedback controllers, we derive several novel synchronization criteria, which guarantee the considered hybrid coupled networks can achieve fixed-time synchronization. Two numerical examples are given to show the effectiveness of our results.

      PubDate: 2018-02-05T16:17:15Z
  • Fractal phase space and fractal entropy of instantaneous cardiac rhythm
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): V.P. Tsvetkov, S.A. Mikheyev, I.V. Tsvetkov
      The paper is devoted to the study of cardiac rhythm variability (CRV) using the phase and extended phase spaces of instantaneous cardiac rhythm (ICR) obtained from the Holter monitoring (HM) data. In order to construct these spaces, a software package is developed and implemented. With specific references, the fractality of the ICR phase space is demonstrated. The fractal phase space volume and fractal entropy definitions of ICR are given. The paper justifies their availability for CRV quantitative assessment.

      PubDate: 2018-02-05T16:17:15Z
  • Residual symmetry, interaction solutions and consistent tanh expansion
           solvability for the third-order Burgers equation
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Hengchun Hu, Yueyue Li, Haidong Zhu
      The residual symmetries for the third-order Burgers equation are obtained with the truncated Painlevé method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables and the corresponding finite transformations are computed directly. New exact solutions of the third-order Burgers equation is also proved to have the consistent tanh expansion form. New exact interaction excitations such as soliton-cnoidal wave solutions and soliton-periodic wave solutions are given out analytically and graphically.

      PubDate: 2018-02-05T16:17:15Z
  • Zero topological entropy for C1 generic vector fields
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Manseob Lee
      In this paper, we show that C 1 generically, a vector field X has zero topological entropy if there are a C 1 neighborhood U of X and d > 0 such that for every Y ∈ U and a periodic point p of Y, ∥ P π ( p ) Y N p ∥ < π ( p ) d , where π(p) is the period of p, and PY is the linear Poincaré flow associated to Y. This result is a generalization of Arbieto and Morales [1].

      PubDate: 2018-02-05T16:17:15Z
  • Theory and applications of a more general form for fractional power series
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): I. Jaradat, M. Al-Dolat, K. Al-Zoubi, M. Alquran
      The latent potentialities and applications of fractional calculus present a mathematical challenge to establish its theoretical framework. One of these challenges is to have a compact and self-contained fractional power series representation that has a wider application scope and allows studying analytical properties. In this letter, we introduce a new more general form of fractional power series expansion, based on the Caputo sense of fractional derivative, with corresponding convergence property. In order to show the functionality of the proposed expansion, we apply the corresponding iterative fractional power series scheme to solve several fractional (integro-)differential equations.

      PubDate: 2018-02-05T16:17:15Z
  • Destabilization of terrorist networks
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): H.A. Eiselt
      This paper uses a three-phase process to first describe the development of a network to describe different types of relations between terrorists and their supporters. It continues to review some of the usual measures of social network analysis to evaluate different positions in the network. Finally, the work describes different methods to destabilize the terrorist network, and, based on sensitivity analyses, determines the potential of certain actions and the vulnerability of the network.

      PubDate: 2018-02-05T16:17:15Z
  • Dynamics towards the steady state applied for the Smith-Slatkin mapping
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Juliano A. de Oliveira, Larissa C. N. Ramos, Edson D. Leonel
      We derived explicit forms for the convergence to the steady state for a 1-D Smith–Slatkin mapping at and near at bifurcations. We used a phenomenological description with a set of scaling hypothesis leading to a homogeneous function giving a scaling law. The procedure is supported by numerical simulations and confirmed by a theoretical description. At the bifurcation we used an approximation transforming the difference equation into a differential one whose solution remount all scaling features. Near the bifurcation an investigation of fixed point stability leads to the decay for the stationary state. Simulations are made in the pitchfork, transcritical and period doubling bifurcations.

      PubDate: 2018-02-05T16:17:15Z
  • A novel trust-based community detection algorithm used in social networks
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Xianhuan Chen, Chengyi Xia, Jin Wang
      Mining the community structure is an important subject in the area of social network analysis, and detecting the hidden communities within the social networks will help to better understand the topological properties of the real-life networks. Meanwhile, community detection will be also helpful to monitor the public opinion, identify the opinion leaders and perform the personalized recommendation. In comparison with the simplex user ties or contents, considering the trust features from multiple users will provide a more comprehensive account of the linking relationship between users. To this end, we propose a novel non-overlapping community detection algorithm, which is based on the trust mechanism, to recognize the community structure in this paper. At first, we propose several definitions with regard to trust relationship between users to depict the trust strength, which includes the direct, indirect and mutual trust, and then the specific trust calculation method is provided to quantitatively describe the extent of trust. Secondly, starting from the trust relationship, we integrate the edge fitness and community fitness into the non-overlapping community detection and propose a novel trust-based algorithm to comprehensively leverage the trust among nodes to further mine the communities within the networks. Finally, to deeply analyze the analyze the performance, we take use of Lesmis and Gemo data sets to carry out extensive experiments, and the results show that, compared with other classical algorithms, the community based on the newly proposed algorithm features the higher trust cohesion on the condition that the structural cohesiveness of social network is fully satisfied. The current methods will be of significance to deeply understand and effectively find out the communities within realistic networks.

      PubDate: 2018-02-05T16:17:15Z
  • Donation of richer individual can support cooperation in spatial voluntary
           prisoner's dilemma game
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Deming Mao, Zhenxi Niu
      The compassionate behavior is present throughout the human society, and rich people always could not help having sympathy for poor individual. Inspired by this fact, we consider a donation model to describe the emergency and maintenance of cooperation with voluntary participate in spatial prisoner's dilemma game and we study this model on a square lattice. In detail, when the focal player has the least income in the group which includes his nearest four neighbors and himself, one of his neighbors who has the highest income will donate some proportion of his extra money to him. On the other hand, if focal individual is not the poorest, he will donate some incomes to his poorest neighbor. Through numeric simulation, we conclude that our donation model can promote the evolution of cooperation monotonously. Especially, the larger proportion payoff rich people can contribute, the higher level of cooperation we can get.

      PubDate: 2018-02-05T16:17:15Z
  • Robust adaptive beam-forming optimization method based on diagonal-loading
           and MSE criterion
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Zheng-Hong Deng, Ji-Wei Xu, Xue-Qiang Li, Feng Huang
      Smart antenna can effectively suppress multipath interference, co-channel interference, and improves the transmission quality of signal and the utilization of spectrum, so it is widely applied in wireless communication network. To explore the optimization problem about smart antenna receiving array and sensor network which exists in radar, sonar and other systems, here we presents a kind of adaptive beam-forming algorithm based on diagonal-loading and mean square error (MSE) criterion. Such a novel algorithm could give the optimal solution of weight direction vector, and at the same guarantees its own robustness. Furthermore, it also possesses the advantage of shortening the convergence time of weight direction vector, and decreasing the sensitive issue of model error in high SNR environment. In our simulation experiments, it is shown that the proposed algorithm improves the performance of receiver network in sonar system, and to a certain extent achieves the signal optimization.

      PubDate: 2018-02-05T16:17:15Z
  • Complexity measures of music
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): April Pease, Korosh Mahmoodi, Bruce J. West
      We present a technique to search for the presence of crucial events in music, based on the analysis of the music volume. Earlier work on this issue was based on the assumption that crucial events correspond to the change of music notes, with the interesting result that the complexity index of the crucial events is μ ≈ 2, which is the same inverse power-law index of the dynamics of the brain. The search technique analyzes music volume and confirms the results of the earlier work, thereby contributing to the explanation as to why the brain is sensitive to music, through the phenomenon of complexity matching. Complexity matching has recently been interpreted as the transfer of multifractality from one complex network to another. For this reason we also examine the mulifractality of music, with the observation that the multifractal spectrum of a computer performance is significantly narrower than the multifractal spectrum of a human performance of the same musical score. We conjecture that although crucial events are demonstrably important for information transmission, they alone are not sufficient to define musicality, which is more adequately measured by the multifractality spectrum.

      PubDate: 2018-02-05T16:17:15Z
  • Complexity and heterogeneity in a dynamic network
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): David Lambert, Fabio Vanni
      We present an approximate analytical solution for the connectivity of a network model with a “non-simultaneous” linking scheme. This model exhibits node-space correlations in the link distribution, anomalous fluctuations in the time series of the connectivity variable, and a finite-size effect: the maximum number of links occurs away from the critical value of the system parameter. We derive an exact Master Equation for this model in the form of an infinitesimal time-evolution operator. Fluctuations are much more important than the mean-field approximation predicts, which we attribute to the heterogeneity in the model. Finally, we give a sketch of possible real world applications where the value of a network is related to the number of links.

      PubDate: 2018-02-05T16:17:15Z
  • Investigation of dynamical behaviors of neurons driven by memristive
    • Abstract: Publication date: March 2018
      Source:Chaos, Solitons & Fractals, Volume 108
      Author(s): Ge Zhang, Chunni Wang, Faris Alzahrani, Fuqiang Wu, Xinlei An
      Synapse is an important bridge for receiving and encoding signals, and the description for synapse current is critical for further signal processing. This paper investigates the dynamical characteristic in isolated neuron and chain neuronal networks with memristive autapse or synapses, respectively. Autapse plays important role in modulating the electrical activities, and thus the information encoding is enhanced. Within the improved neuron model, memristor is used to map the modulation of synapse current. Within an isolated new neuron model with memory, the modes in electrical activities can be controlled by the synapse current completely. Bifurcation analysis is carried out and mode transition is discussed. Furthermore, the modulation of synapse current on chain network is investigated, and the dependence of wave propagation on intensity of synapse is discussed. The diversity in synapse current can suppress the synchronization approach on the network.

      PubDate: 2018-02-05T16:17:15Z
  • Phase-flip in relay oscillators via linear augmentation
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Umeshkanta Singh Thounaojam, Manish Dev Shrimali
      In time-delay coupled relay system of three limit cycle of oscillators, linear augmentation control provides an effective strategy to induce phase-flip from relative phase zero to π between spatially separated oscillators. A coexisting dynamical regime of fixed point and anti-phase synchronization state is harnessed in relay system. Targeting phase-flip transition through linear augmentation is illustrated by using Stuart-Landau oscillators. However, such dynamical transition does not occur in the same system with conjugate coupling through dissimilar variables. Inducing relative phase difference without resorting to variation of internal system parameters and time-delay is important from the view of system control.

      PubDate: 2018-02-05T16:17:15Z
  • A hidden chaotic attractor in the classical Lorenz system
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Buncha Munmuangsaen, Banlue Srisuchinwong
      Chaotic attractors in the classical Lorenz system have long been known as self-excited attractors. This paper, for the first time, reveals a novel hidden chaotic attractor in the classical Lorenz system. Either a self-excited or a hidden chaotic attractor is now possible in the classical Lorenz system depending on values of both system parameters and initial conditions. A systematically exhaustive computer search is employed to directly search for the hidden chaotic attractor with elegant values of both system parameters and initial conditions. Time series of trajectories, Lyapunov exponents, and bifurcations of the hidden chaotic attractor are reported. Basins of attraction of individual equilibria are depicted to verify that the hidden chaotic attractor is found. Dynamic regions of attractors are illustrated to reveal seamless connections between self-excited and hidden chaotic attractors in the classical Lorenz system with wide ranges of parameters.

      PubDate: 2018-02-05T16:17:15Z
  • Dynamical analysis of a novel autonomous 4-D hyperjerk circuit with
           hyperbolic sine nonlinearity: Chaos, antimonotonicity and a plethora of
           coexisting attractors
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): G.D. Leutcho, J. Kengne, L. Kamdjeu Kengne
      In this paper, a novel fourth-order autonomous hyperjerk circuit is proposed and the corresponding dynamics is systematically analyzed. Two anti-parallel semiconductor diodes form the nonlinear component necessary for chaotic oscillations. The mathematical model of the novel circuit consists of a fourth-order (“elegant”) autonomous hyperjerk system with (a single) hyperbolic sine nonlinearity. The fundamental dynamic properties of the model are investigated including fixed points and stability, phase portraits, bifurcation diagrams, and Lyapunov exponent plots. Period-doubling bifurcation, periodic windows, coexisting bifurcations, symmetry recovering crises, and antimonotonicity (i.e. concurrent creation and annihilation of periodic orbit) are reported when monitoring the systems parameters. One of the main findings in this work is the presence of various windows in the parameter space in which the novel 4D-hyperjerk system develops the interesting property of multiple coexisting attractors (e.g. coexistence of two, three, four, five, six, seven height or nine disconnected periodic and chaotic attractors). To the best of the authors’ knowledge, this striking phenomenon is unique and has not yet been reported previously in a hyperjerk circuit, and thus represents a significant contribution to the understanding of the behavior of nonlinear dynamical systems in general. Laboratory experiments of the oscillator are carried out to verify the theoretical analysis.

      PubDate: 2018-02-05T16:17:15Z
  • Coexisting attractors and circuit implementation of a new 4D chaotic
           system with two equilibria
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Qiang Lai, Tsafack Nestor, Jacques Kengne, Xiao-Wen Zhao
      This letter proposes a new 4D autonomous chaotic system characterized by the abundant coexisting attractors and a simple mathematical description. The new system which is constructed from the Sprott B system is dissipative, symmetric, chaotic and has two unstable equilibria. For a given set of parameters, butterfly attractors are emerged from the system. These butterfly attractors will be broken into a pair of symmetric strange attractors with the variation of the parameters. A variety of coexisting attractors are spotted in the system including six periodic attractors, four periodic attractors with two chaotic attractors, two periodic attractors with three chaotic attractors, two periodic attractors with two chaotic attractors, four periodic attractors, etc. Finally, the system is established via an electronic circuit which can physically confirm the complex dynamics of the system.

      PubDate: 2018-02-05T16:17:15Z
  • Dynamics of ac-driven sine-Gordon equation for long Josephson junctions
           with fast varying perturbation
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Zamin Gul, Amir Ali, Irshad Ahmad
      A long Josephson junction comprising regions with phase discontinuities driven by an external ac-drive is studied. An inhomogeneous sine-Gordon equation is used, that depicts the dynamics of long Josephson junctions with phase discontinuities. Perturbation technique along with asymptotic analysis and the method of averaging are applied to obtain an average dynamics in the form of double sine-Gordon equations for both small and large driving amplitudes. From the obtained average dynamics, it is determined that, the external ac-drive may affect the presence of the ground state of the junction. Specifically, the cases for 0 − κ and 0 − π − 0 junctions are discussed. In the presence of an external ac-drive, the critical facet length bc is analyzed for 0 − π − 0 junction above which the ground state is non-uniform. The critical bias current γc for 0 − κ junction is investigated, at which the junction switches to a resistive state. Further, the interaction of localized defect modes and the fast oscillating drive is studied for both 0 − κ and 0 − π − 0 junctions, which is explained by using Lagrangian approach. Numerical simulations are performed to support our analytical calculations.

      PubDate: 2018-02-05T16:17:15Z
  • Existence and global exponential stability of pseudo almost periodic
           solution for neutral delay BAM neural networks with time-varying delay in
           leakage terms
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Chaouki Aouiti, Imen Ben Gharbia, Jinde Cao, Mohammed Salah M’hamdi, Ahmed Alsaedi
      In this paper, bidirectional associative memory (BAM) neural networks with time-varying delays in leakage terms are investigated. A set of sufficient conditions are obtained for the existence and the exponential stability of pseudo almost periodic solutions for this class of neural networks by applying Banach’s fixed point theorems, and differential inequality techniques. Finally, we present a numerical example and simulation to illustrate the effectiveness of the theoretical results. We extend and improve previously know results.

      PubDate: 2018-02-05T16:17:15Z
  • Multiple peaks patterns of epidemic spreading in multi-layer networks
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Muhua Zheng, Wei Wang, Ming Tang, Jie Zhou, S. Boccaletti, Zonghua Liu
      The study of epidemic spreading on populations of networked individuals has seen recently a great deal of significant progresses. A common point in many of past studies is, however, that there is only one peak of infected density in each single epidemic spreading episode. At variance, real data from different cities over the world suggest that, besides a major single peak trait of infected density, a finite probability exists for a pattern made of two (or multiple) peaks. We show that such a latter feature is distinctive of a multilayered network of interactions, and reveal that a two peaks pattern may emerge from different time delays at which the epidemic spreads in between the two layers. Further, we show that the essential ingredient is a weak coupling condition between the layers themselves, while different degree distributions in the two layers are also helpful. Moreover, an edge-based theory is developed which fully explains all numerical results. Our findings may therefore be of significance for protecting secondary disasters of epidemics, which are definitely undesired in real life.

      PubDate: 2018-02-05T16:17:15Z
  • Collisions between the dark solitons for a nonlinear system in the
           geophysical fluid
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Xi-Yang Xie, Gao-Qing Meng
      Under investigation in this paper is a nonlinear system, which can be used to describe the marginally unstable baroclinic wave packets in the geophysical fluid. With the help of this nonlinear system, we study the properties of the dark solitons in the geophysical fluid. With the symbolic computation, dark one- and two-soliton solutions for such a system are obtained. Propagations of the one solitons and collisions between the two solitons are graphically shown and discussed with the parameters α and γ, where α measures the state of the basic flow and γ is the group velocity. γ is observed to affect the amplitudes of the dark one and two solitons, i.e., amplitudes of the solitons become higher with the value of γ increasing, and travelling directions of the two solitons can be influenced by γ. α is observed to affect the plane of B, but have no effect on A, where A represents the amplitude of the wave packet, and B is a quantity measuring the correction of the basic flow.

      PubDate: 2018-02-05T16:17:15Z
  • A (2+1)-dimensional breaking soliton equation: Solutions and conservation
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Yakup Yıldırım, Emrullah Yaşar
      In this paper, we consider a (2+1)-dimensional breaking soliton equation which describe the (2+1)-dimensional interaction of the Riemann wave propagating along the y-axis with a long wave along the x-axis. By the Lie group analysis, the Lie point symmetry generators and symmetry reductions were deduced. From the viewpoint of exact solutions, we have performed two distinct methods to the equation for getting some exact solutions. Kudryashov’s simplest methods and ansatz method with the assistance of Maple were carried out. The local conservation laws are also constructed by multiplier/homotopy methods. Finally, the graphical simulations of the exact solutions are depicted.

      PubDate: 2018-02-05T16:17:15Z
  • Energy of nonlinear electron acoustic solitons in electron positron ion
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): M. Yaqub Khan, Javed Iqbal
      A rigorous theoretical investigation is made to find energy of EASWs in unmagnetized collisionless plasma having stationary ions, cold electrons, hot electrons and hot positrons. By employing reductive perturbation method KdV equation is derived and solution of KdV equation is proposed by homotopy perturbation method (HPM) in two cases, i.e. in kappa distribution and in Cairns distribution. The consequences of different parameters variation on soliton profile have been studied. It is noticed amplitude and width of soliton are sensitive to k (spectral index of kappa distributed populations) i.e. increasing k makes an increase in soliton amplitude and width. It is also found dip and hump type solitons exist due to presence of electrons and positrons and σ = T e / T P affects the dip and hump type solitons profile. Also we found energy of soliton in kappa distribution and in Cairns distribution. This work may be helpful for astronomers and space investigators, working on planetary magneto spheres, earth's ionosphere auroral zone, and interstellar space plasmas etc.

      PubDate: 2018-02-05T16:17:15Z
  • Invariant subspaces admitted by fractional differential equations with
           conformable derivatives
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): M.S. Hashemi
      There are various types of fractional derivatives in literature. One of the most natural and well-behaved fractional derivatives is recently introduced by the authors Khalil et al. [34], namely the conformable fractional derivative. In this paper, some more results about conformable fractional Laplace transform introduced by Abdeljawad [43] are investigated. The invariant subspace method is developed to get the exact solutions of various conformable time fractional differential equations. Finally, this theory is extended for the coupled system of conformable fractional differential equations, as well.

      PubDate: 2018-02-05T16:17:15Z
  • Regular paths in financial markets: Investigating the Benford's law
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Jessica Riccioni, Roy Cerqueti
      This paper aims at verifying whenever the Benford's Law is valid in the context of global stock markets, which are here viewed as complex systems. In so doing, we pursue the scope of assessing the presence of data regularities and interpret obtained discrepancies. Specifically, we check the reliability of Benford's Law for all the indexes listed on the stock exchanges of several countries, with a particular reference to prices and volumes of stocks. To pursue our scope, we adopt comparison criteria grounded on statistical theory, like the Chi-squared test for both the distributions of the first and the second meaningful digits. Evidence of violations is provided and some insights taken from the historical facts and economic shocks are carried out.

      PubDate: 2018-02-05T16:17:15Z
  • Smooth Quintic spline approximation for nonlinear Schrödinger equations
           with variable coefficients in one and two dimensions
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Reza Mohammadi
      The present paper uses a relatively new approach and methodology to solve one and two dimensional nonlinear Schrödinger equations numerically. We use the horizontal method of lines and θ-method, θ ∈ [1/2, 1] for time discretization that reduces the problem into an amenable system of ordinary differential equations. The resulting system of ODEs in space subsequently have been solved by quintic polynomial spline scheme. Convergence of the scheme in maximum norm is established rigorously. The convergence orders are O ( k + h x 4 + h y 4 ) and O ( k 2 + h x 4 + h y 4 ) , where k is the temporal grid size and hx and hy are spatial grid sizes, respectively. Matrix stability analysis shows that the method is conditionally stable. The efficacy of proposed approach has been confirmed with four numerical experiments, where comparison is made with some earlier works. It is clear that the results obtained are acceptable and are in good agreement with earlier studies. The present scheme is very simple, effective and convenient for obtaining numerical solution of Schrödinger equation.

      PubDate: 2018-02-05T16:17:15Z
  • Dark-dark solitons for a set of the coupled nonlinear Schrödinger
           equations in a birefringent fiber
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Yu-Qiang Yuan, Bo Tian, Lei Liu, Yan Sun, Zhong Du
      In this paper, we investigate a set of the coupled nonlinear Schrödinger equations with the four-wave mixing term, which describes the optical solitons in a birefringent fiber. Via the Kadomtsev–Petviashvili hierarchy reduction, we obtain the nondegenerate N-dark-dark soliton solutions in the Gram determinant form. Based on such solutions, we get the nondegenerate dark-dark solitons. With the analytic and graphic analysis, soliton propagating on a periodic background is presented. Via the asymptotic analysis, we find that the interaction between the two dark-dark solitons is elastic, and such an elastic interaction is shown graphically. Moreover, we also present the three dark-dark and bound-state dark-dark solitons.

      PubDate: 2018-02-05T16:17:15Z
  • Interaction of weak shocks in drift-flux model of compressible two-phase
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): S. Kuila, T. Raja Sekhar
      We consider the Riemann problem for an isothermal no-slip compressible gas-liquid drift-flux model of multi-phase flows governing two mass conservation equations and one mixture momentum equation. We establish a global result for the existence and uniqueness of a solution to the Riemann problem. We obtain one parameter family of elementary wave curves explicitly. Further, we derive a necessary and sufficient condition to ensure the existence of a shock wave or a simple wave for a 1-family and a 3-family of characteristics on the initial data in the solution of the Riemann problem. Finally, we prove the result of Von Neumann’s concerning the overtaking of two weak shocks of same family.

      PubDate: 2018-02-05T16:17:15Z
  • An immunization based on node activity
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Fuzhong Nian, Chasheng Hu, Shuanglong Yao, Longjing Wang, Xingyuan Wang
      In this paper, a standard susceptible-infected-recovered-susceptible (SIRS) epidemic model based on the dynamic network model is established. The dynamic network based on the Barabasi–Albert (BA) scale-free network model is constructed, keeping the same total number of edges, adding and deleting edges are operated according to the corresponding node activity level. These operations also can change the node activity. At the same time, a new immunization scheme - “immunization based on node activity” is proposed, in which the nodes with most active be immunized firstly. The propagation situations of random immunization, immunization based on node activity and high-risk immunization are investigated, the influence of some parameters on the density of infected individuals is also analyzed in detail. When the number of immunization nodes is the same, the results show that the effect of immunization based on node activity is the best. Therefore, immunization based on node activity is effective, and it is more feasible in dynamic network.

      PubDate: 2018-02-05T16:17:15Z
  • On distributional chaos in non-autonomous discrete systems
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Hua Shao, Yuming Shi, Hao Zhu
      This paper studies distributional chaos in non-autonomous discrete systems generated by given sequences of maps in metric spaces. In the case that the metric space is compact, it is shown that a system is Li–Yorke δ-chaotic if and only if it is distributionally δ′-chaotic in a sequence; and three criteria of distributional δ-chaos are established, which are caused by topologically weak mixing, asymptotic average shadowing property, and some expanding condition, respectively, where δ and δ′ are positive constants. In a general case, a criterion of distributional chaos in a sequence induced by a Xiong chaotic set is established.

      PubDate: 2018-02-05T16:17:15Z
  • Exponential decay of correlations functions in MIXMAX generator of
           pseudorandom numbers
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): George Savvidy, Konstantin Savvidy
      We are developing further our earlier suggestion to use high entropy Anosov C-systems for the Monte-Carlo simulations. The hyperbolic Anosov C-systems have exponential instability of their trajectories and as such have mixing of all orders and nonzero Kolmogorov entropy. Of special interest are C-systems that are defined on a high dimensional torus. The C-systems on a torus are perfect candidates to be used for Monte-Carlo simulations. The correlation functions of the physical observables which are defined on a torus phase space are tend to zero and become uncorrelated exponentially fast. It is important to specify the parameters of a dynamical C-system which quantify the exponential decay. We have found that the upper bound on the rate of the exponential decay of the correlation functions universally depends on the value of the system entropy. This result allows to define decorrelation and relaxation times in terms of entropy and characterise the statistical properties of the MIXMAX generator.

      PubDate: 2018-02-05T16:17:15Z
  • Broken Farey tree and fractal in a hexagonal centrifugal governor with a
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Xiao-Bo Rao, Yan-Dong Chu, Ying-Xiang Chang, Jian-Gang Zhang
      The global dynamical behaviors of a hexagonal centrifugal governor with a spring are expanded in this paper. The high-definition resolution phase diagrams are used to identify how the complex mode-locking behaviors arise with the parameters changed. By calculating the rotation number, it is unfolded that the interesting “Devils staircase” is presented with the parameter changed, meanwhile, the mode-locking structure is organized according to the broken Farey tree sequence. In addition, the fractal structure with self-similarity can also be observed in this system.

      PubDate: 2018-02-05T16:17:15Z
  • Rogue waves for a generalized nonlinear Schrödinger equation with
           distributed coefficients in a monomode optical fiber
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Yan Sun, Bo Tian, Lei Liu, Xiao-Yu Wu
      Investigated in this paper is the generalized nonlinear Schrödinger equation with distributed coefficients, which describes the amplification or absorption of pulses propagating in a monomode optical fiber with distributed group-velocity dispersion and self-focusing Kerr nonlinearity. By virtue of the Kadomtsev-Petviashvili hierarchy reduction, we obtain the rogue waves based on rogue-wave solutions in terms of the Gramian under certain constraint. We study the effects of group-velocity dispersion, nonlinearity and amplification/absorption coefficients on the rogue waves with the help of figures. Amplitudes of the rogue waves are independent with the group-velocity dispersion and nonlinearity coefficients. The first-order rogue wave with an eye-shaped distribution density and the second-order rogue waves with the highest-peak amplitude and with the triple-peak structure are presented. Both the intermingled or separated composite rogue waves are derived. Periodic rogue waves are obtained and period of the periodic rogue wave increases with the period of the group-velocity dispersion. Furthermore, nonlinear tunneling of the rogue waves is observed: rogue waves get amplified when they reach to the dispersion barriers and recover their original shapes after passing through the barriers, while amplitudes of the rogue waves decrease inside the dispersion wells. Amplification/absorption coefficient influence the background and amplitude of the rogue wave, and three types of the backgrounds are discussed due to different amplification/absorption coefficients.

      PubDate: 2018-02-05T16:17:15Z
  • Spatial dynamics of a predator-prey system with cross diffusion
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Caiyun Wang, Suying Qi
      In this paper, a spatial predator-prey model with self-defense mechanism that the prey species keep themselves away from the attack of the predator, which leads the existence of the cross diffusion in biological communities, is investigated. Conditions for cross diffusion induced Turing instability are obtained by mathematical analysis. By the numerical simulations, five types of patterns such as hot/cold spots, hot/cold spots-stripes and stripes patterns emerge. Our study suggests that the interactions of self and cross diffusion have great effects on the mechanism for the emergence of complex dynamics in biological systems.

      PubDate: 2018-02-05T16:17:15Z
  • Mathematical modeling of Fog-Haze evolution
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Yong-Ping Wu, Chun-yangzi Zhu, Guo-Lin Feng, B. Larry Li
      Under the global warming, the significant changes in atmospheric water cycle lead to drying in arid region, which is strengthening the effect of aerosol on Fog-Haze generation and accelerating the emergence of infectious diseases. However, the production process of the Fog-Haze is lack of quantitative description based on atmospheric water cycle. In this paper, we modeled the process of Fog-Haze generation, evolution and disappearance fundamentally and theoretically. The budget functions for water vapor and aerosol were coupled by the physical and chemical interaction between water vapor and aerosol. The obtained results may provide new insights on the control of Fog-Haze and the related infectious diseases induced by Fog-Haze.

      PubDate: 2017-12-27T05:04:53Z
  • Solitons and shocks in e-p-i magneto-rotating plasma using Cairns
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): M. Yaqub Khan, Javed Iqbal
      Solitons and shocks formation are studied in a magnetized rotating electron-ion-positron plasma using Cairns distribution. We derive an admitted solitary wave solution KdV equation and an admitted travelling wave solution KdVB equation. We apply HPM technique on derived KdV equation and tanh-method on derived KdVB equation. It is observed that γ = T h / T P , the ratio of electron temperature to positron temperature, and α = n 0 P / n 0 h , the ratio of number density of positrons to electrons, affect both the soliton width and amplitude. It is also found that γ = T e / T P , α = n 0 P / n 0 h , kinematic viscosity and angular frequency affects the structure of shocks. We have compared our results with publish papers and conclude our results are good. This work may be helpful in order to study the rotating flows of magnetized plasma.

      PubDate: 2017-12-27T05:04:53Z
  • Couple stresses effect on linear instability and nonlinear stability of
           convection in a reacting fluid
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Akil J. Harfash, Ghazi Abed Meften
      We study the problem of convective movement of a reacting solute in a viscous incompressible fluid occupying a plane layer and subjected to a couple stresses effects. The thresholds for linear instability are found and compared to those derived by a global nonlinear energy stability analysis. In particular, we analyse the effect of no-slip boundary conditions on the stability and instability of convection. The conditions of no-slip at the boundary with couple stresses effect and non constant coefficients which are analysed for the first time in this article.

      PubDate: 2017-12-27T05:04:53Z
  • Directed clustering in weighted networks: A new perspective
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): G.P. Clemente, R. Grassi
      Several definitions of clustering coefficient for weighted networks have been proposed in literature, but less attention has been paid to both weighted and directed networks. We provide a new local clustering coefficient for this kind of networks, starting from those already existing in the literature for the weighted and undirected case. Furthermore, we extract from our coefficient four specific components, in order to separately consider different link patterns of triangles. Empirical applications on several real networks from different frameworks and with different order are provided. The performance of our coefficient is also compared with that of existing coefficients.

      PubDate: 2017-12-27T05:04:53Z
  • Fractional-differential approach to the study of instability in a gas
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Z.Z. Alisultanov, G.B. Ragimkhanov
      Using an approach based on the kinetic equation of fractional order on the time variable, two types of instability in a gas discharge are investigated: the instability of the electron avalanche and the sticking instability in a nonself-maintained discharge.

      PubDate: 2017-12-27T05:04:53Z
  • Long-range memory, distributional variation and randomness of bitcoin
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Salim Lahmiri, Stelios Bekiros, Antonio Salvi
      We investigate the nonlinear patterns of volatility in seven Bitcoin markets. In particular, we explore the fractional long-range dependence in conjunction with the potential inherent stochasticity of volatility time series under four diverse distributional assumptions, i.e., Normal, Student-t, Generalized Error (GED), and t-Skewed distribution. Our empirical findings signify the existence of long-range memory in Bitcoin market volatility, irrespectively of distributional inference. The same applies to entropy measurement, which indicates a high degree of randomness in the estimated series. As Bitcoin markets are highly disordered and risky, they cannot be considered suitable for hedging purposes. Our results provide strong evidence against the efficient market hypothesis.

      PubDate: 2017-12-27T05:04:53Z
  • Chirped solitons in derivative nonlinear Schrödinger equation
    • Abstract: Publication date: February 2018
      Source:Chaos, Solitons & Fractals, Volume 107
      Author(s): Mibaile Justin, Malwe Boudoue Hubert, Gambo Betchewe, Serge Yamigno Doka, Kofane Timoleon Crepin
      The exact chirped solitons are derived from the derivative nonlinear Schrödinger equation (DNLS). The obtained chirps could help for either pulse compression or amplification in optical fiber and nonlinear electrical transmission line. The 22 new obtained chirped solitons and 22 soliton solutions of the DNLS could help in the understanding of the phenomena in which waves are governed by such equation.

      PubDate: 2017-12-27T05:04:53Z
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