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: So far, there has been no conclusion on the mechanism for herding, which is often discussed in the academia. Assuming escaping behavior of individuals in emergency is rational rather than out of panic according to recent findings in social psychology, we investigate the behavioral evolution of large crowds from the perspective of evolutionary game theory. Specifically, evolution of the whole population divided into two subpopulations, namely the co-evolution of strategy and game structure, is numerically simulated based on the game theoretical models built and the evolutionary rule designed, and a series of phenomena including extinction of one subpopulation and herding effect are predicted in the proposed framework. Furthermore, if the rewarding for rational agents becomes significantly larger than that for emotional ones, herding effect will disappear. It is exciting that some phase transition points with interesting properties for the system can be found. In addition, our model framework is able to explain the fact that it is difficult for mavericks to prevail in society. The current results of this work will be helpful in understanding and restraining herding effect in real life.
    Chaos Solitons & Fractals 06/2015; 75. DOI:10.1016/j.chaos.2015.02.008
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    ABSTRACT: Allochthonous inputs are important sources of productivity in many food webs and their influences on food chain model demand further investigations. In this paper, assuming the existence of allochthonous inputs for intermediate predator, a food chain model is formulated with disease in the prey. The stability and persistence conditions of the equilibrium points are determined. Extinction criterion for infected prey population is obtained. It is shown that suitable amount of allochthonous inputs to intermediate predator can control infectious disease of prey population, provided initial intermediate predator population is above a critical value. This critical intermediate population size increases monotonically with the increase of infection rate. It is also shown that control of infectious disease of prey is possible in some cases of seasonally varying contact rate. Dynamical behaviours of the model are investigated numerically through one and two parameter bifurcation analysis using MATCONT 2.5.1 package. The occurrence of Hopf and its continuation curves are noted with the variation of infection rate and allochthonous food availability. The continuation curves of limit point cycle and Neimark Sacker bifurcation are drawn by varying the rate of infection and allochthonous inputs. This study introduces a novel natural non-toxic method for controlling infectious disease of prey in a food chain model.
    Chaos Solitons & Fractals 06/2015; 75. DOI:10.1016/j.chaos.2015.02.002
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    ABSTRACT: Toward the middle of 2001, the authors started arguing that fractals are important when discussing the operational resilience of information systems and related computer sciences issues such as artificial intelligence. But in order to argue along these lines it turned out to be indispensable to define fractals so as to let one recognize as fractals some sets that are very far from being self similar in the (usual) metric sense. This paper is devoted to define (in a loose sense at least) fractals in ways that allow for instance all the Cantor sets to be fractals and that permit to recognize fractality (the property of being fractal) in the context of the information technology issues that we had tried to comprehend. Starting from the meta-definition of a fractal as an “object with non-trivial structure at all scales” that we had used for long, we ended up taking these words seriously. Accordingly we define fractals in manners that depend both on the structures that the fractals are endowed with and the chosen sets of structure compatible maps, i.e., we approach fractals in a category-dependent manner. We expect that this new approach to fractals will contribute to the understanding of more of the fractals that appear in exact and other sciences than what can be handled presently.
    Chaos Solitons & Fractals 06/2015; 75. DOI:10.1016/j.chaos.2015.02.003
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    ABSTRACT: In this paper two adaptive sliding mode controls for synchronizing the state trajectories of the Genesio–Tesi system with unknown parameters and external disturbance are proposed. A switching surface is introduced and based on this switching surface, two adaptive sliding mode control schemes are presented to guarantee the occurrence of the sliding motion. The stability and robustness of the two proposed schemes are proved using Lyapunov stability theory. The effectiveness of our introduced schemes is provided by numerical simulations.
    Chaos Solitons & Fractals 06/2015; 75. DOI:10.1016/j.chaos.2015.02.010
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    ABSTRACT: The method of Lie symmetries and the Jacobi Last Multiplier is used to study certain aspects of nonautonomous ordinary differential equations. Specifically we derive Lagrangians for a number of cases such as the Langmuir–Blodgett equation, the Langmuir–Bogulavski equation, the Lane–Emden–Fowler equation and the Thomas–Fermi equation by using the Jacobi Last Multiplier. By combining a knowledge of the last multiplier together with the Lie symmetries of the corresponding equations we explicitly construct first integrals for the Langmuir–Bogulavski equation and the Lane–Emden–Fowler equation. These first integrals together with their corresponding Hamiltonains are then used to study time-dependent integrable systems. The use of the Poincaré–Cartan form allows us to find the conjugate Noetherian invariants associated with the invariant manifold.
    Chaos Solitons & Fractals 06/2015; 75. DOI:10.1016/j.chaos.2015.02.021
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    ABSTRACT: The solution of the heat conduction equation in derivatives of fractional order with the account of diffuse and convective mechanisms of heat transfer is provided. The dependence of the temperature distribution on the rates of derivatives of fractional order by time and coordinate is studied.
    Chaos Solitons & Fractals 06/2015; 75. DOI:10.1016/j.chaos.2015.01.024
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    ABSTRACT: We construct an explicit formula for the fractal interpolation function associated to an IFS with variable parameters. The solution is given in terms of the base p representation of numbers. This construction is a consequence of the formulation of the problem in a general functional equation setting. We introduce compatibility conditions as essential hypotheses to ensure problems in the functional system form are well-defined.
    Chaos Solitons & Fractals 06/2015; 75. DOI:10.1016/j.chaos.2015.01.023
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    ABSTRACT: In this paper, a fractional order mathematical model of a hydro-turbine governing system is presented to analyze the dynamic stability of the hydro-turbine governing system in the process of operation. The fractional order hydro-turbine governing system is composed of a hydro-turbine and penstock system, a generator system and a hydraulic servo system. As a pioneering work, we proposed a universal solution about the relationship of two parameters in higher-degree equations according to the stability theorem of a fractional order system. Based on the above theorem, we presented a variable law of stable regions of the fractional-order hydro-turbine governing system and analyzed the effect of various degree of elastic water hammer on the stable regions of the parameters and with the increase of fractional order . The nonlinear dynamic behaviors of the system are also studied in detail. Finally, all of these results supply some basic theories for the running of a hydropower plant.
    Chaos Solitons & Fractals 06/2015; 75. DOI:10.1016/j.chaos.2015.01.025
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    ABSTRACT: Based on the typical Chua’s circuit and the latest research results of multi-scroll system, a model of the new system is constructed to produce multi-scroll chaotic attractors, replacing the typical Chua’s diode with the combination of sign function. The major method is to make equilibrium point located in the center of two adjacent breakpoints, and keep scrolls and bond orbits alternated with each other. The chaos generation mechanism is studied by analyzing the symmetry and invariance, the existence of the dissipation and attractor, the system equilibrium and stability. The fractal dimension, the K–S entropy, the time domain waveform and the initial value sensitivity are applied to verifying the chaotic behaviors. The numerical simulations show that the system generates n-double (n = 1, 2, 3, 4, 5, 6) scroll chaotic attractors. Finally, the design of the hardware circuit produces at a maximum of 12-scroll hardware experimental results. Theoretical analysis, numerical simulation and hardware experimental results are full matched, which further proves the existence of the system and the physical realization.
    Chaos Solitons & Fractals 06/2015; 75. DOI:10.1016/j.chaos.2015.02.013
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    ABSTRACT: Based on a set of reasonable assumptions, the dynamical features of a novel computer virus model in latent period is proposed in this paper. Through qualitative analysis, we obtain the basic reproduction number . Furthermore, it is shown that the model have a infection-free equilibrium and a unique infection equilibrium (positive equilibrium). Using Lyapunov function theory, it is proved that the infection-free equilibrium is globally asymptotically stable if , implying that the virus would eventually die out. And by means of a classical geometric approach, the infection equilibrium is globally asymptotically stable if . Finally, the numerical simulations are carried out to illustrate the feasibility of the obtained results.
    Chaos Solitons & Fractals 06/2015; 75. DOI:10.1016/j.chaos.2015.02.001
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    ABSTRACT: The DNA molecule is considered as a complex dynamic system where nonlinear conformational waves can be activated and move along the polynucleotide chains. Local nonlinear distortions of the DNA structure named bubbles are studied with the help of the sine-Gordon equation modified by adding two terms that more accurately take into account heterogeneous nature of the DNA sequence. The model equation is solved numerically. Topological soliton solutions having the form of kinks, are found. To obtain the trajectories of the bubbles we project the derivative of the function on the plane . The approach is applied to artificial sequence consisting of n homogeneous regions separated by boundaries, and to the sequence of plasmid pTTQ18. The obtained dependence of the bubble trajectories on the arrangement of the main functional regions (promoters, terminators and coding regions) is interpreted as an evidence of the existence of the relation between DNA dynamics and functioning.
    Chaos Solitons & Fractals 06/2015; 75. DOI:10.1016/j.chaos.2015.02.009
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    ABSTRACT: We consider a nonlinear ordinary differential equation having solutions with various movable pole order on the complex plane. We show that the pole order of exact solution is determined by values of parameters of the equation. Exact solutions in the form of the solitary waves for the second order nonlinear differential equation are found taking into account the method of the logistic function. Exact solutions of differential equations are discussed and analyzed.
    Chaos Solitons & Fractals 06/2015; 75:173-177. DOI:10.1016/j.chaos.2015.02.016
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    ABSTRACT: In studying the iteration of random functions, the usual situation is to assume time-homogeneity of the process and some average contractivity condition. In this paper we change both of these conditions by investigating the iteration of time-dependent random functions where all the functions converge (as the iterations proceed) uniformly to the identity. The behaviour of the iterates is remarkably different from the standard contractive situation. In particular, we show that for affine maps in the “chaos game” trajectory converges almost surely. This is in stark contrast to the usual situation where the trajectory moves ergodically throughout the attractor.
    Chaos Solitons & Fractals 06/2015; 75:178-184. DOI:10.1016/j.chaos.2015.02.020
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    ABSTRACT: In this paper, a SEIR epidemic model with nonlinear incidence rate and time delay is investigated in three cases. The local stability of an endemic equilibrium and a disease-free equilibrium are discussed using stability theory of delay differential equations. The conditions that guarantee the asymptotic stability of corresponding steady-states are investigated. The results show that the introduction of a time delay in the transmission term can destabilize the system and periodic solutions can arise through Hopf bifurcation when using the time delay as a bifurcation parameter. Applying the normal form theory and center manifold argument, the explicit formulas determining the properties of the bifurcating periodic solution are derived. In addition, the effect of the inhibitory effect on the properties of the bifurcating periodic solutions is studied. Numerical simulations are provided in order to illustrate the theoretical results and to gain further insight into the behaviors of delayed systems.
    Chaos Solitons & Fractals 06/2015; 75:153-172. DOI:10.1016/j.chaos.2015.02.017
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    ABSTRACT: In this paper, we investigate the dynamical behaviors of a two-dimensional Hodgkin–Huxley like neural model. By using bifurcation methods and numerical simulations, we study the bifurcations and membrane excitability in the neural model. We give the two-parameter and one-parameter bifurcation diagrams and pay much attention to the emergence of periodic solutions and multistability. Different classes of membrane excitability are obtained by the bifurcation analyses and the frequency-current curves. We also show that the neural model possesses bistability and tristability.
    Chaos Solitons & Fractals 06/2015; 75:118-126. DOI:10.1016/j.chaos.2015.02.018
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    ABSTRACT: Growing biological evidence from various ecosystems (Berec et al., 2007) suggests that the Allee effect generated by two or more mechanisms can act simultaneously on a single population. Surprisingly, prey–predator system incorporating multiple Allee effect is relatively poorly studied in literature. In this paper, we consider a ratio dependent prey–predator system with a double Allee effect in prey population growth. We have taken into account the case of the strong and the weak Allee effect separately and study the stability and complete bifurcation analysis. It is shown that the model exhibits the bi-stability and there exists separatrix curve(s) in the phase plane implying that dynamics of the system is very sensitive to the variation of the initial conditions. Generic normal forms at double zero singularity are derived by a rigorous mathematical analysis to show the different types of bifurcation of the proposed model system including Bogdanov–Takens bifurcation, saddle–node bifurcation curve, a Hopf bifurcation curve and a homoclinic bifurcation curve. The complete analysis of possible topological structures including elliptic, parabolic, or hyperbolic orbits, and any combination of them in a neighborhood of the complicated singular point in the interior of the first quadrant is explored by using a blow up transformation. These structures have important implications for the global behavior of the model. Numerical simulation results are given to support our theoretical results. Finally, the paper concludes with a discussion of the ecological implications of our analytic and numerical findings.
    Chaos Solitons & Fractals 04/2015; 73:36-63. DOI:10.1016/j.chaos.2014.12.007