Chaos Solitons & Fractals (CHAOS SOLITON FRACT)

Publisher: Elsevier

Journal description

Chaos, Solitons & Fractals provides a medium for the rapid publication of full length original papers, short communications, reviews and tutorial articles in the following subjects:-bifurcation and singularity theory, deterministic chaos and fractals, stability theory, soliton and coherent phenomena, formation of pattern, evolution, complexity theory and neural networksContributions on both fundamental and applied studies are welcome, but the emphasis of the journal will be on applications in the following fields: Physical Sciences classical mechanics, including fluid mechanics; quantum and statistical mechanics; lasers, optics and acoustics; plasma physics and fusion; solid-state and condensed matter physics; chemistry and chemical physics; astronomy and astrophysics; materials science; geophysics; meteorology. Engineering marine engineering; mechanical, aeronautical and astronautical engineering; electrical engineering; chemical engineering; structural and civil engineering. Biomedical and Life Sciences biology; molecular biology; population dynamics; zoology; theoretical ecology. Social Sciences economics; sociology; political science; philosophy and epistemology. All essential colour illustrations and photographs will be reproduced in colour at no charge to the author.

Current impact factor: 1.50

Impact Factor Rankings

2015 Impact Factor Available summer 2015
2013 / 2014 Impact Factor 1.503
2012 Impact Factor 1.246
2011 Impact Factor 1.222
2010 Impact Factor 1.267
2009 Impact Factor 3.315
2008 Impact Factor 2.98
2007 Impact Factor 3.025
2006 Impact Factor 2.042
2005 Impact Factor 1.938
2004 Impact Factor 1.526
2003 Impact Factor 1.064
2002 Impact Factor 0.872
2001 Impact Factor 0.839
2000 Impact Factor 0.742
1999 Impact Factor 0.788
1998 Impact Factor 0.807
1997 Impact Factor 0.698

Impact factor over time

Impact factor

Additional details

5-year impact 1.55
Cited half-life 6.10
Immediacy index 0.31
Eigenfactor 0.02
Article influence 0.44
Website Chaos, Solitons & Fractals website
Other titles Chaos, solitons, and fractals (Online), Chaos, solitons & fractals
ISSN 0960-0779
OCLC 38522998
Material type Document, Periodical, Internet resource
Document type Internet Resource, Computer File, Journal / Magazine / Newspaper

Publisher details


  • Pre-print
    • Author can archive a pre-print version
  • Post-print
    • Author can archive a post-print version
  • Conditions
    • Pre-print allowed on any website or open access repository
    • Voluntary deposit by author of authors post-print allowed on authors' personal website, or institutions open scholarly website including Institutional Repository, without embargo, where there is not a policy or mandate
    • Deposit due to Funding Body, Institutional and Governmental policy or mandate only allowed where separate agreement between repository and the publisher exists.
    • Permitted deposit due to Funding Body, Institutional and Governmental policy or mandate, may be required to comply with embargo periods of 12 months to 48 months .
    • Set statement to accompany deposit
    • Published source must be acknowledged
    • Must link to journal home page or articles' DOI
    • Publisher's version/PDF cannot be used
    • Articles in some journals can be made Open Access on payment of additional charge
    • NIH Authors articles will be submitted to PubMed Central after 12 months
    • Publisher last contacted on 18/10/2013
  • Classification
    ​ green

Publications in this journal

  • [Show abstract] [Hide abstract]
    ABSTRACT: Cascading failure is one of the most central topics in the field of complex networks. In this paper, the cascading failure model is extended to the case of interdependent networks, and the effect of coupling preference on systems robustness is intensively investigated. It is found that the performance of coupling preference on robustness is dependent on coupling probability. Disassortative coupling is more robust for sparse coupling while assortative coupling performs better for dense coupling. We provide an explanation for this constructive phenomenon via examining cascading process from the microscopic point of view. Our work can be useful to the design and optimization of interdependent networked systems.
    Chaos Solitons & Fractals 11/2015; 80. DOI:10.1016/j.chaos.2015.03.005
  • [Show abstract] [Hide abstract]
    ABSTRACT: In previous epidemiological studies that address adaptive vaccination decisions, individuals generally act within a single network, which models the population structure. However, in reality, people are typically members of multiplex networks, which have various community structures. For example, a disease transmission network, which directly transmits infectious diseases, does not necessarily correspond with an information propagation network, in which individuals directly or indirectly exchange information concerning health conditions and vaccination strategies. The latter network may also be used for strategic interaction (strategy adaptation) concerning vaccination. Therefore, in order to reflect this feature, we consider the vaccination dynamics of structured populations whose members simultaneously belong to two types of networks: disease transmission and information propagation. Applying intensive numerical calculations, we determine that if the disease transmission network is modeled using a regular graph, such as a lattice population or random regular graph containing individuals of equivalent degrees, individuals should base their vaccination decisions on a different type of network. However, if the disease transmission network is a degree-heterogeneous graph, such as the Barabási–Albert scale-free network, which has a heterogeneous degree according to power low, then using the same network for information propagation more effectively prevents the spread of epidemics. Furthermore, our conclusions are unaffected by the relative cost of vaccination.
    Chaos Solitons & Fractals 11/2015; 80. DOI:10.1016/j.chaos.2015.04.018
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    ABSTRACT: Based on the observance in human society, the satisfaction level of an individual as a result of an obtained payoff depends on personal tendency to some extent; we establish a new model for spatial prisoner’s dilemma games. We describe individual satisfaction as a stochastically deviated value around each of the four payoffs stipulated by a payoff matrix, which is maintained throughout the life of a certain agent. When strategy updating, an agent who refers to his own satisfaction level cannot see neighbors’ satisfaction levels but can only observe neighbors’ accumulated payoffs. By varying the update rule and underlying topology, we perform numerical simulations that reveal cooperation is significantly enhanced by this change. We argue that this enhancement of cooperation is analogous to a stochastic resonance effect, like the payoff noise effects Perc (2006).
    Chaos Solitons & Fractals 11/2015; 80. DOI:10.1016/j.chaos.2015.02.025
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    ABSTRACT: Epilepsy is a typical neural disease in nervous system, and the control of seizures is very important for treating the epilepsy. It is well known that the drug treatment is the main strategy for controlling the epilepsy. However, there are about 10–15 percent of patients, whose seizures cannot be effectively controlled by means of the drug. Alternatively, the deep brain stimulus (DBS) technology is a feasible method to control the serious seizures. However, theoretical explorations of DBS are still absent, and need to be further made. Presently, we will explore to control the absence seizures by introducing the DBS to a basal ganglia thalamocortical network model. In particular, we apply DBS onto substantia nigra pars reticulata (SNr) and the cortex to explore its effects on controlling absence seizures, respectively. We can find that the absence seizure can be well controlled within suitable parameter ranges by tuning the period and duration of current stimulation as DBS is implemented in the SNr. And also, as the DBS is applied onto the cortex, it is shown that for the ranges of present parameters, only adjusting the duration of current stimulation is an effective control method for the absence seizures. The obtained results can have better understanding for the mechanism of DBS in the medical treatment.
    Chaos Solitons & Fractals 11/2015; 80. DOI:10.1016/j.chaos.2015.02.014
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    ABSTRACT: Traffic process is ubiquitous in many critical infrastructures. In this paper, we introduce a mechanism to dynamically allocate the delivering capacity into the data-packet traffic model on the coupled Internet autonomous-system-level network of South Korea and Japan, and focus on its effect on the transport efficiency. In this mechanism, the total delivering capacity is constant and the lowest-load node will give one unit delivering capacity to the highest-load node at each time step. It is found that the delivering capacity of busy nodes and non-busy nodes can be well balanced and the effective betweenness of busy nodes with interconnections is significantly reduced. Consequently, the transport efficiency such as average traveling time and packet arrival rate is remarkably improved. Our work may shed some light on the traffic dynamics in coupled networks.
    Chaos Solitons & Fractals 11/2015; 80:56-61. DOI:10.1016/j.chaos.2015.05.030
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    ABSTRACT: A new model of mixed strategy system for spatial prisoner’s dilemma games is proposed. As an alternative to the typical mixed strategy system, wherein a behavior of either cooperation or defection is stochastically determined for each neighbor based on the agent’s overall strategy, in our mixed strategy system, the agent instead correlates his strategies with those of his neighbors. For example, he tends to offer cooperation more frequently to his neighbor who is cooperative more often. This model provides results with significantly enhanced cooperation compared with those obtained with the conventional mixed strategy model. Interestingly, some of the evolutionary paths followed under strong dilemma situations can be divided into two specific periods: Defector-Enduring (D-END), when the number of defectors rapidly decreases, and the subsequent Defector-Expanding (D-EXP), when the surviving defectors’ clusters start to expand, allowing the global cooperation fraction to fall to a lower level. The D-END and D-EXP periods seem analogous to the END and EXP periods presented by the author in previous studies.
    Chaos Solitons & Fractals 11/2015; 80:39-46. DOI:10.1016/j.chaos.2015.03.021
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    ABSTRACT: The study of transitions in low dimensional, nonlinear dynamical systems is a complex problem for which there is not yet a simple, global numerical method able to detect chaos–chaos, chaos–periodic bifurcations and symmetry-breaking, symmetry-increasing bifurcations. We present here for the first time a general framework focusing on the symmetry concept of time series that at the same time reveals new kinds of recurrence. We propose several numerical tools based on the symmetry concept allowing both the qualification and quantification of different kinds of possible symmetry. By using several examples based on periodic symmetrical time series and on logistic and cubic maps, we show that it is possible with simple numerical tools to detect a large number of bifurcations of chaos–chaos, chaos–periodic, broken symmetry and increased symmetry types.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.04.010
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    ABSTRACT: How to reconfigure a logic gate is an attractive subject for different applications. Chaotic systems can yield a wide variety of patterns and here we use this feature to produce a logic gate. This feature forms the basis for designing a dynamical computing device that can be rapidly reconfigured to become any wanted logical operator. This logic gate that can reconfigure to any logical operator when placed in its chaotic state is called chaotic logic gate. The reconfiguration realize by setting the parameter values of chaotic logic gate. In this paper we present mechanisms about how to produce a logic gate based on the logistic map in its chaotic state and genetic algorithm is used to set the parameter values. We use three well-known selection methods used in genetic algorithm: tournament selection, Roulette wheel selection and random selection. The results show the tournament selection method is the best method for set the parameter values. Further, genetic algorithm is a powerful tool to set the parameter values of chaotic logic gate.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.05.032
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    ABSTRACT: We put forward a computational model which mainly focuses on the effect of individual’s partner switching process to characterize the coevolutionary behaviors within the real-world systems. We consider the following factors the income of the individuals in the tth and ( )th generation, the average income of the individuals and their neighbors, the policy states of the neighbors of the individuals in the tth generation, the cumulative number of betrayal of the individuals up to the tth generation and the mutual information of the individuals, and constitute the dynamic evolution of an adaptive network game based on their linear combination of above-mentioned factors. It is found that the cooperation is promoted and even the fraction of cooperators reaches the 100%, which can be attributed to the entangled evolution of individual strategy and network structure. We show that the emerging social networks exhibit assortative mixing pattern and high heterogeneity. Moreover, the effect of different population size N and edge number M, the influence of social development factor, the stability of system are investigated by extensive numerical simulations. Our results, to some extent reflect the underlying mechanism promoting social cooperation.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.06.006
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    ABSTRACT: We propose an improved fitness evaluation method to investigate the evolution of cooperation in the spatial social dilemmas. In our model, a focal player’s fitness is calculated as the linear combination of his own payoff, the average payoffs of direct and indirect neighbors in which two independent selection parameters (α and β) are used to control the proportion of various payoff contribution to the current fitness. Then, the fitness-based strategy update rule is still Fermi-like, and asynchronous update is adopted here. A large plethora of numerical simulations are performed to validate the behaviors of the current model, and the results unambiguously demonstrate that the cooperation level is greatly enhanced by introducing the payoffs from the surrounding players. In particular, the influence of direct neighbors become more evident when compared with indirect neighbors since the correlation between focal players and their direct neighbors is much closer. Current outcomes are significant for us to further illustrate the origin and emergence of cooperation within a wide variety of natural and man-made systems.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.04.014
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    ABSTRACT: In a recent series of papers, Kavitha et al. [2,3,4] solved three inhomogeneous nonlinear Schrödinger (INLS) integro-differential equation under the influence of a variety of nonlinear inhomogeneities and nonlocal damping by the modified extended tangent hyperbolic function method. They obtained several kinds of exact solitary solutions accompanied by the shape changing property. In this paper, we demonstrate that most of exact solutions derived by them do not satisfy the nonlinear equations and consequently are wrong. Furthermore, we study a generalized Hirota equation with spatially-inhomogenetiy and nonlocal nonlinearity. Its integrability is explored through Painlevé analysis and N-soliton solutions are obtained based on the Hirota bilinear method. Effects of linear inhomogeneity on the profiles and dynamics of solitons are also investigated graphically.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.05.008
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    ABSTRACT: An intracellular calcium oscillation (ICO) system with non-Gaussian noises in transmission processes of intracellular Ca is studied by means of a second-order stochastic Runge–Kutta type algorithm. The normalized autocorrelation function (NAF) and the characteristic correlation time (CCT) of cytosolic and calcium store’s Ca concentration are simulated. The results exhibit that both NAFs of cytosolic and calcium store’s Ca concentration show almost periodic oscillation when the non-Gaussian noises are weak or the correlation time of non-Gaussian noises is long, but the oscillations of both NAFs decrease when the non-Gaussian noises are strong or the correlation time is short. Moreover, both CCTs of cytosolic and calcium store’s Ca concentration demonstrate that noises enhance stability, reverse resonance, and coherence resonance occur in the ICO system.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.05.018
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    ABSTRACT: In this paper, we introduce h(x) − Fibonacci quaternion polynomials that generalize the k − Fibonacci quaternion numbers, which in their turn are a generalization of the Fibonacci quaternion numbers. We also present a Binet-style formula, ordinary generating function and some basic identities for the h(x) − Fibonacci quaternion polynomial sequences.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.04.017
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    ABSTRACT: Cooperation is vital for our society, but the temptation of cheating on cooperative partners undermines cooperation. The mechanism of reputation is raised to countervail this temptation and therefore promote cooperation. Reputation microcosmically records individual choices, while cooperation macrocosmically refers to the group or averaged cooperation level. Reputation should be preferred in order to investigate how individual choices evolve. In this work, we study the distribution of reputation to figure out how individuals make choices within cooperation and defection. We decompose reputation into its mean and standard deviation and inspect effects of their factors respectively. To achieve this goal, we construct a model where agents of three groups or classes play the prisoners’ dilemma game with neighbors on a square lattice. It indicates in outcomes that the distribution of reputation is distinct from that of cooperation and both the mean and standard deviation of reputation follow clear patterns. Some factors have negative quadratic effects on reputation's mean or standard deviation, and some have merely linear effects.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.04.012