Chaos Solitons & Fractals (CHAOS SOLITON FRACT )

Publisher: Elsevier

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.

  • Impact factor
    1.25
    Show impact factor history
     
    Impact factor
  • 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

Elsevier

  • Pre-print
    • Author can archive a pre-print version
  • Post-print
    • Author can archive a post-print version
  • Conditions
    • Voluntary deposit by author of pre-print allowed on Institutions open scholarly website and pre-print servers
    • Voluntary deposit by author of authors post-print allowed on institutions open scholarly website including Institutional Repository
    • Deposit due to Funding Body, Institutional and Governmental mandate only allowed where separate agreement between repository and publisher exists
    • 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 PMC after 12 months
    • Authors who are required to deposit in subject repositories may also use Sponsorship Option
    • Pre-print can not be deposited for The Lancet
  • Classification
    ​ green

Publications in this journal

  • [show abstract] [hide abstract]
    ABSTRACT: A one-dimensional map is proposed for modeling some of the neuronal activities, including different spiking and bursting behaviors. The model is obtained by applying some modifications on the well-known Logistic map and is named the Modified and Confined Logistic (MCL) model. Map-based neuron models are known as phenomenological models and recently, they are widely applied in modeling tasks due to their computational efficacy. Most of discrete map-based models involve two variables representing the slow-fast prototype. There are also some one-dimensional maps, which can replicate some of the only specific neuronal activities. However, the existence of four bifurcation parameters in the MCL model gives rise to reproduction of spiking behavior with control over the frequency of the spikes, and imitation of chaotic and regular bursting responses concurrently. It is also shown that the proposed model has the potential to reproduce more realistic bursting activity by adding a second variable. Moreover the MCL model is able to replicate considerable number of experimentally observed neuronal responses introduced in (Izhikevich, 2004). Some analytical and numerical analyses of the MCL model dynamics are presented to explain the emersion of complex dynamics from this one-dimensional map.
    Chaos Solitons & Fractals 04/2014;
  • [show abstract] [hide abstract]
    ABSTRACT: A one-dimensional map is proposed for modeling some of the neuronal activities, including different spiking and bursting behaviors. The model is obtained by applying some modifications on the well-known Logistic map and is named the Modified and Confined Logistic (MCL) model. Map-based neuron models are known as phenomenological models and recently, they are widely applied in modeling tasks due to their computational efficacy. Most of discrete map-based models involve two variables representing the slow-fast prototype. There are also some one-dimensional maps, which can replicate some of the only specific neuronal activities. However, the existence of four bifurcation parameters in the MCL model gives rise to reproduction of spiking behavior with control over the frequency of the spikes, and imitation of chaotic and regular bursting responses concurrently. It is also shown that the proposed model has the potential to reproduce more realistic bursting activity by adding a second variable. Moreover the MCL model is able to replicate considerable number of experimentally observed neuronal responses introduced in (Izhikevich, 2004). Some analytical and numerical analyses of the MCL model dynamics are presented to explain the emersion of complex dynamics from this one-dimensional map. Keywords: map-based models; spiking and bursting patterns; bifurcation parameter; phenomenological models.
    Chaos Solitons & Fractals 04/2014;
  • [show abstract] [hide abstract]
    ABSTRACT: We study the capture of a particle into resonance at a potential hole with dissipative perturbation and external periodic excitation. The measure of resonance solutions is evaluated. We also derive an asymptotic formula for the parameter range of those solutions which are captured into resonance.
    Chaos Solitons & Fractals 01/2014; 58:27–39.
  • [show abstract] [hide abstract]
    ABSTRACT: The main aim of the present work is to detect the Hopf bifurcation in policy relevant economic dynamical system. The study employs two deferent forms of monetary policy rules namely: Taylor rule and inflation targeting rule. The results show that there exists Hopf bifurcation between policy relevant variables in both types of rules in our open economic system.
    Chaos Solitons & Fractals 01/2014; 61:8–12.
  • [show abstract] [hide abstract]
    ABSTRACT: In traditional game theory, players tend to be selfishly motivated when playing games, seeking to maximize their personal gain. In this work, we study other-regarding preference in a self-questioning game on the evolution of cooperation via a synchronous update, and use parameter αα to denote the fitness factor (the larger the αα is, the greater the other-regarding preference will be). We find that increase of αα promotes the evolution of cooperation, and importantly intermediate αα can lead to the ping-pong effect. Through the micro-evolution characteristics, we also analyze the contributing factors for the occurrence of ping-pong effect.
    Chaos Solitons & Fractals 01/2014; 59:51–58.
  • [show abstract] [hide abstract]
    ABSTRACT: In this work we investigate the influence of white Gaussian noise on the fluctuations in the plasma of a symmetrical discharge using multifractal detrended fluctuation analysis. We observe that in the range of noise intensity used in our study, the multifractality strength is increased by the noise, at all values of the inter-anode voltage, both for original and filtered time-series. This is interpreted as a new positive influence of noise because this effect can be understood as an increasing in the predictability on the dynamics in a time-series. A constructive influence of noise can appear only for fluctuations with underlying chaotic dynamics. The shuffling analysis demonstrates that the multifractality is purely a consequence of the correlations of the fluctuations. The noise influence is also observed in the change of the position of the maximum in the singularity spectra. The multifractal detrended cross correlation between light intensity and current intensity demonstrates that the fluctuations in both parameters are generated by the same physical processes though they are very different in nature: one is a local parameter and the other is a global one.
    Chaos Solitons & Fractals 01/2014; 61:46–55.
  • [show abstract] [hide abstract]
    ABSTRACT: The investment-timing problem has been considered by many authors under the assumption that the instantaneous volatility of the demand shock is constant. Recently, Ting et al. (2013) [12] carried out an asymptotic approach in a monopoly model by letting the volatility parameter follow a stochastic process. In this paper, we consider a strategic game in which two firms compete for a new market under an uncertain demand, and extend the analysis of Ting et al. to duopoly models under different strategic game structures. In particular, we investigate how the additional uncertainty in the volatility affects the investment thresholds and payoffs of players. Several numerical examples and comparison of the results are provided to confirm our analysis.
    Chaos Solitons & Fractals 01/2014; 58:40–51.
  • [show abstract] [hide abstract]
    ABSTRACT: Aside from the commonly considered strategies: vaccination or risk, in this work another basic policy self-protection strategy is incorporated into research of epidemics spreading. Then within the network-theoretical framework, we mainly explore the impact of self-protection strategy on the epidemic size and the eradication of infection. Interestingly, we find that the self-protection influence is multiple: given that the effectiveness of the self-protective strategy is negligible, nobody is willing to take up this act, both vaccination and risk traits dominate the whole system; On the contrary, when the effectiveness of self-protective policy is elevated, it becomes a popular strategy and the size of epidemic can be controlled at a relatively low level. However, one worse situation is present as well: when the effectiveness of self-protection is moderate, the infection probability and epidemic size can reach the maximal level. This is because that, under such a case, the emergence of the self-protective strategy neither inspires the enthusiasm of vaccination nor provides ideal effect.
    Chaos Solitons & Fractals 01/2014; 61:1–7.
  • [show abstract] [hide abstract]
    ABSTRACT: A weighted hierarchical network model is introduced in this paper. We study the trapping problem for weighted-dependent walks taking place on a hierarchical weighted network at a given trap. We concentrate on the average trapping time (ATT) for three cases, i.e., the immobile trap located at the root node, the external nodes and a neighbor of the root with a single connectivity, respectively. The closed-form formulae for the ATT for the three cases are obtained. In different range of the weight factor r, the leading term of ATT grows differently, i.e., superlinearly, linearly and sublinearly with the network size. For all the three cases of trapping problems, the leading scaling of ATT can reach the minimum scaling.
    Chaos Solitons & Fractals 01/2014; 60:49–55.
  • [show abstract] [hide abstract]
    ABSTRACT: We study analytically the periodic solutions of a Hamiltonian in R6R6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.
    Chaos Solitons & Fractals 01/2014; 61:38–43.
  • [show abstract] [hide abstract]
    ABSTRACT: An efficient algorithm for obtaining random bijective S-boxes based on chaotic maps and composition method is presented. The proposed method is based on compositions of S-boxes from a fixed starting set. The sequence of the indices of starting S-boxes used is obtained by using chaotic maps. The results of performance test show that the S-box presented in this paper has good cryptographic properties. The advantages of the proposed method are the low complexity and the possibility to achieve large key space.
    Chaos Solitons & Fractals 01/2014; 58:16–21.
  • [show abstract] [hide abstract]
    ABSTRACT: We study the synchronization of a coupled pair of one-dimensional Kuramoto–Sivashinsky systems, with equations augmented by a third-space-derivative term. With two different values of a system parameter, the two systems synchronize in the generalized sense. The phenomenon persists even in the extreme case when one of the equations is missing the extra term. Master–slave synchronization error is small, so the generalized synchronization relationship is useful for predicting the state of the master from that of the slave, or conversely, for controlling the slave. The spatial density of coupling points required to bring about generalized synchronization appears to be related to the wavelength of traveling wave solutions, and more generally to the width of coherent structures in the separate systems.
    Chaos Solitons & Fractals 01/2014; 59:35–41.
  • [show abstract] [hide abstract]
    ABSTRACT: The purpose of this paper is to study the structural change in Credit Default Swap volatility. We use statistical properties and a network approach to better understand the behavior of CDS volatility. We hypothesize that structural change occurs in CDS index during a financial crisis and it requires subperiod analysis, rather than full period analysis, to investigate properly. Our results show that the probability of large volatility is related to the structure of volatility but it is more significantly related to the size of volatility. Both the memory property and the size of volatility are confirmed to have dependence on the structure of volatility. The linked degree of CDS volatilities is highly related to the probability of large volatility and its predictability, regardless of structural change in volatility. Another interesting result is that the CDS volatility of a country is more related to the behavior of other volatilities, not the geographical location.
    Chaos Solitons & Fractals 01/2014; 60:56–67.
  • [show abstract] [hide abstract]
    ABSTRACT: In this paper, we consider a creative case where one semipublic firm endeavors to maximize the weighted average on social welfare and its own profit while the other private firm only intends to maximize its own profit, so we bring in a dynamic nonlinear mixed Cournot model with bounded rationality. The locally asymptotical stability of the unique Nash equilibrium is also investigated and complex dynamic features including period doubling bifurcations, strange attractors and chaotic phenomena are also discussed. Furthermore, by introducing production adjustment costs into the model, we will show that sometimes they violate the locally asymptotical stability of the Nash equilibrium, compared to the well-known results under the best response dynamic when these costs act as a stabilizing factor.
    Chaos Solitons & Fractals 01/2014; 59:82–88.
  • [show abstract] [hide abstract]
    ABSTRACT: Let (fn)(fn) be a given sequence of continuous selfmaps of a compact metric space X which converges uniformly to a continuous selfmap f of the compact metric space X. In this note, we present a counterexample which shows that Theorems 3.9–3.11 obtained by us in [Chaos, Solitons and Fractals 45 (2012) 759–764] are not true and give the correct proofs of Theorems 3.4–3.7 in [Chaos, Solitons and Fractals 45 (2012) 759–764]. We also obtain a equivalence condition for the uniform map f to be syndetically sensitive or cofinitely sensitive or multi-sensitive or ergodically sensitive and a sufficient condition the uniform map f to be totally transitive or topologically weak mixing.
    Chaos Solitons & Fractals 01/2014; 59:112–118.
  • [show abstract] [hide abstract]
    ABSTRACT: By employing threshold policy control (TPC) in combination with the definition of integrated pest management (IPM), a Filippov prey–predator model with periodic forcing has been proposed and studied, and the periodic forcing is affected by assuming a periodic variation in the intrinsic growth rate of the prey. This study aims to address how the periodic forcing and TPC affect the pest control. To do this, the sliding mode dynamics and sliding mode domain have been addressed firstly by using Utkin’s equivalent control method, and then the existence and stability of sliding periodic solution are investigated. Furthermore, the complex dynamics including multiple attractors coexistence, period adding sequences and chaotic solutions with respect to bifurcation parameters of forcing amplitude and economic threshold (ET) have been investigated numerically in more detail. Finally the switching transients associated with pest outbreaks and their biological implications have been discussed. Our results indicate that the sliding periodic solution could be globally stable, and consequently the prey or pest population can be controlled such that its density falls below the economic injury level (EIL). Moreover, the switching transients have both advantages and disadvantages concerning pest control, and the magnitude and frequency of switching transients depend on the initial values of both populations, forcing amplitude and ET.
    Chaos Solitons & Fractals 01/2014; 61:13–23.
  • [show abstract] [hide abstract]
    ABSTRACT: We consider the local (instantaneous) Lyapunov spectrum for a four-dimensional Hamiltonian system. Its stable periodic motion can be reversed for long times. Its unstable chaotic motion, with two symmetric pairs of exponents, cannot. In the latter case reversal occurs for more than a thousand fourth-order Runge–Kutta time steps, followed by a transition to a new set of paired Lyapunov exponents, unrelated to those seen in the forward time direction. The relation of the observed chaotic dynamics to the Second Law of Thermodynamics is discussed.
    Chaos Solitons & Fractals 01/2014; 60:68–76.
  • [show abstract] [hide abstract]
    ABSTRACT: In this paper, we delve into the prolongation structure of a coupled dispersionless system within the viewpoint of Wahlquist–Estabrook’s approach. Paying particular attention to the special linear SL(2,R)SL(2,R)-symmetry of the system, we derive the more general Lax-pairs of a new higher-dimensional system stemming from the generalization of the Morris’s formalism geared towards constructing some family of nonlinear partial differential evolution model equations with additional spatial dimensions. Looking forward to providing a physical meaning of the new equations, we investigate the dynamics of a current-fed membrane within an external magnetic field and submitted to an additional constraint.
    Chaos Solitons & Fractals 01/2014; 59:89–98.
  • [show abstract] [hide abstract]
    ABSTRACT: In this paper, we investigate finite-time uniform stability of functional differential equations with applications in network synchronization control. First, a Razumikhin-type theorem is derived to ensure finite-time uniform stability of functional differential equations. Based on the theoretical results, finite-time uniform synchronization is proposed for a class of delayed neural networks and delayed complex dynamical networks by designing nontrivial and simple control strategies and some novel criteria are established. Especially, a feasible region of the control parameters for each neuron is derived for the realization of finite-time uniform synchronization of the addressed neural networks, which provide a great convenience for the application of the theoretical results. Finally, two numerical examples with numerical simulations are provided to show the effectiveness and feasibility of the theoretical results.
    Chaos Solitons & Fractals 01/2014; s 62–63:10–22.

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