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: 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.
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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.
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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.
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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.
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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.
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    ABSTRACT: In this work, transient chaos in a ring and globally coupled system of nearly conservative Hamiltonian Duffing oscillators is reported. The networks are formed by coupling of three, four and six Duffing oscillators. The nearly conservative Hamiltonian nature of the coupled system is proved by stability analysis. The transient phenomenon is confirmed through various numerical investigations such as recurrence analysis, 0–1 test and Finite Time Lyapunov Exponents. Further, the effect of damping and the average transient lifetime of three, four and six coupled schemes for randomly generated initial conditions have been analyzed. The experimental confirmation of transient chaos in an illustrative system of three ringly coupled Duffing oscillators is also presented.
    Chaos Solitons & Fractals 04/2015; 73.
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    ABSTRACT: In this paper, chaotic dynamics of the vibro-impact system under bounded noise excitation is investigated by an extended Melnikov method. Firstly, the Melnikov method in the deterministic vibro-impact system is extended to the stochastic case. Then, a typical stochastic Duffing vibro-impact system is given to application. The analytic conditions for occurrence of chaos are derived by using the random Melnikov process in the mean-square-value sense. In addition, the numerical simulations confirm the validity of analytic results. Also, the influences of interesting system parameters on the chaotic dynamics are discussed.
    Chaos Solitons & Fractals 04/2015; 73.
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    ABSTRACT: The existence of infinitely many subharmonic solutions is obtained for a class of nonautonomous second order Hamiltonian systems with a new superquadratic condition. Furthermore, we can get the existence of homoclinic solutions as the limit of subharmonics under a stronger superquadratic condition which is still weaker than the growth conditions in the references.
    Chaos Solitons & Fractals 04/2015; 73.
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    ABSTRACT: In this paper, an efficient numerical method for solving space fractional order diffusion equation is presented. The numerical approach is based on shifted Chebyshev polynomials of the second kind where the fractional derivatives are expressed in terms of Caputo type. Space fractional order diffusion equation is reduced to a system of ordinary differential equations using the properties of shifted Chebyshev polynomials of the second kind together with Chebyshev collocation method. The finite difference method is used to solve this system of equations. Several numerical examples are provided to confirm the reliability and effectiveness of the proposed method.
    Chaos Solitons & Fractals 04/2015; 73.
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    ABSTRACT: A nonlinear network with many coupled nonlinear LC dispersive transmission lines is considered, each line of the network containing a finite number of cells. In the semi-discrete limit, we apply the reductive perturbation method and show that the wave propagation along the network is governed by a two-dimensional nonlinear partial differential equation (2-D NPDE) of Schrödinger type. Two regimes of wave propagation, the high-frequency and the low-frequency are detected. By the means of exact soliton solution of the 2-D NPDE, we investigate analytically the soliton pulse propagation in the network. Our results show that the network under consideration supports the propagation of kink and dark solitons.
    Chaos Solitons & Fractals 04/2015; 73.
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    ABSTRACT: This paper addresses the mean square exponential stabilization problem of stochastic bidirectional associative memory (BAM) neural networks with Markovian jumping parameters and time-varying delays. By establishing a proper Lyapunov–Krasovskii functional and combining with LMIs technique, several sufficient conditions are derived for ensuring exponential stabilization in the mean square sense of such stochastic BAM neural networks. In addition, the achieved results are not difficult to verify for determining the mean square exponential stabilization of delayed BAM neural networks with Markovian jumping parameters and impose less restrictive and less conservative than the ones in previous papers. Finally, numerical results are given to show the effectiveness and applicability of the achieved results.
    Chaos Solitons & Fractals 04/2015; 73.
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    ABSTRACT: In this paper, we first give the topological classification of level curves for a special Liénard system. Then we study the number of limit cycles of some polynomial Liénard systems with a cuspidal loop surrounded by a loop that is connected (homoclinic) to a nilpotent saddle. We prove that and , where is the maximal number of limit cycles in a Liénard system of type .
    Chaos Solitons & Fractals 04/2015; 73.
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    ABSTRACT: In this paper the formula for Fibonacci sequences with arbitrary initial numbers has been established by using damped oscillation equation. The formula has an exponential and an oscillatory part, it does not separate the indexes of odd and even members of the series and it is applicable on the continual domain. With elementary conditions the formula is reduced to Lucas series, and the square of Lucas series has a catalytic role in the relation of hyperbolic and trigonometric cosine. A complex function is given and the length of Fibonacci spiral is calculated. Natural phenomena support the validity of the proposed concept.
    Chaos Solitons & Fractals 04/2015; 73.
  • Chaos Solitons & Fractals 04/2015;