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: This is an introduction to the special issue titled “Networks of networks” that is in the making at Chaos, Solitons & Fractals. Recent research and reviews attest to the fact that networks of networks are the next frontier in network science [1], [2], [3], [4], [5], [6] and [7]. Not only are interactions limited and thus inadequately described by well-mixed models, it is also a fact that the networks that should be an integral part of such models are often interconnected, thus making the processes that are unfolding on them interdependent. From the World economy and transportation systems to social media, it is clear that processes taking place in one network might significantly affect what is happening in many other networks. Within an interdependent system, each type of interaction has a certain relevance and meaning, so that treating all the links identically inevitably leads to information loss. Networks of networks, interdependent networks, or multilayer networks are therefore a much better and realistic description of such systems, and this Special Issue is devoted to their structure, dynamics and evolution, as well as to the study of emergent properties in multi-layered systems in general. Topics of interest include but are not limited to the spread of epidemics and information, percolation, diffusion, synchronization, collective behavior, and evolutionary games on networks of networks. Interdisciplinary work on all aspects of networks of networks, regardless of background and motivation, is very welcome.
    Chaos Solitons & Fractals 11/2015; 80. DOI:10.1016/j.chaos.2015.03.016
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    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
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    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: 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: 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: 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 effect of autapse on coupled neuronal network is detected. In our studies, three identical neurons are connected with ring type and autapse connected to one neuron of the network. The autapse connected to neuron can impose time-delayed feedback in close loop on the neuron thus the dynamics of membrane potentials can be changed. Firstly, the effect of autapse driving on single neuron is confirmed that negative feedback can calm down the neuronal activity while positive feedback can excite the neuronal activity. Secondly, the collective electrical behaviors of neurons are regulated by a pacemaker, which associated with the autapse forcing. By using appropriate gain and time delay in the autapse, the neurons can reach synchronization and the membrane potentials of all neurons can oscillate with the same rhythm under mutual coupling. It indicates that autapse forcing plays an important role in changing the collective electric activities of neuronal network, and appropriate electric modes can be selected due to the switch of feedback type(positive or negative) in autapse. And the autapse-induced synchronization in network is also consistent with some biological experiments about synchronization between nonidentical neurons.
    Chaos Solitons & Fractals 11/2015; 80:31-38. DOI:10.1016/j.chaos.2015.02.005
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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: 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: This paper is a further note on stability criteria for uncertain neutral systems with mixed delays. We firstly employed a new method to estimate the upper bound of the derivative of functional, and novel stability criteria are presented for nominal neutral system, which will obtain less conservatism. Then, several sufficient stability conditions are proposed for neutral systems with polytopic uncertainty and linear fractional norm-bound uncertainty. Lastly, three numerical examples are given to demonstrate the effectiveness and merit of the proposed results. In Appendix, the stability criteria in Lu et al. [21] are rectified.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.05.003
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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
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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: In this paper we study the cerebrovascular dynamics in newborn rats using the wavelet-based multifractal formalism in order to reveal effective markers of early pathological changes in the macro- and microcirculation at the hidden stage of the development of intracranial hemorrhage (ICH). We demonstrate that the singularity spectrum estimated with the wavelet-transform modulus maxima (WTMM) technique allows clear characterization of a reduced complexity of blood flow dynamics and changes of the correlation properties at the transformation of normal physiological processes into pathological dynamics that are essentially different at the level of large and small blood vessels.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.04.011
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    ABSTRACT: In this paper, we intend to generalise the work of Barral et al. (2003) [1], which provides a bridge between the c-adic boxes and the grid-free approaches to the multifractal analysis of measures. More precisely, we consider some sort of an irregular grid. We apply our results to a Bernoulli measure.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.05.004
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    ABSTRACT: The dynamical properties of the complex Ginzburg–Landau equation are considered in the defocusing (normal dispersion) regime. It is found that under appropriate conditions stable evolution of dark solitons can occur. These conditions are derived using a newly developed perturbation theory that also reveals an important aspect of the dynamics: the formation of a shelf that accompanies the soliton and is an intricate part of its evolution. Further conditions to suppress this effect are also derived. These analytical predictions are found to be in excellent agreement with direct numerical simulations.
    Chaos Solitons & Fractals 08/2015; 77. DOI:10.1016/j.chaos.2015.04.019
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    ABSTRACT: Kolyada and Snoha (1996) proposed the notion of entropy-like invariants for nonautonomous dynamical systems. This paper was based on that concept and involved extending the behavior of topological pressure to a fixed sequence of maps. Specifically, this study investigated how the pressure changes when the potentials or the mappings vary. The analogues of basic properties were obtained, and this study also reveals that, for any continuous maps T and S from a compact metric space into itself, the maps and have the same topological pressure (with respect to the corresponding potential functions).
    Chaos Solitons & Fractals 07/2015; 76. DOI:10.1016/j.chaos.2015.03.010
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    ABSTRACT: In this work, we present the explicit series solution of a specific mathematical model from the literature, the Deng bursting model, that mimics the glucose-induced electrical activity of pancreatic -cells (Deng, 1993). To serve to this purpose, we use a technique developed to find analytic approximate solutions for strongly nonlinear problems. This analytical algorithm involves an auxiliary parameter which provides us with an efficient way to ensure the rapid and accurate convergence to the exact solution of the bursting model. By using the homotopy solution, we investigate the dynamical effect of a biologically meaningful bifurcation parameter , which increases with the glucose concentration. Our analytical results are found to be in excellent agreement with the numerical ones. This work provides an illustration of how our understanding of biophysically motivated models can be directly enhanced by the application of a newly analytic method.
    Chaos Solitons & Fractals 07/2015; 76. DOI:10.1016/j.chaos.2015.02.029