Chaos (Woodbury, N.Y.) Journal Impact Factor & Information

Publisher: American Institute of Physics; American Institute of Physics. Online Journal Publishing Service, American Institute of Physics

Journal description

Chaos is a quarterly journal published by the American Institute of Physics and devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.

Current impact factor: 1.95

Impact Factor Rankings

2015 Impact Factor Available summer 2016
2014 Impact Factor 1.954
2013 Impact Factor 1.761
2012 Impact Factor 2.188
2011 Impact Factor 2.076
2010 Impact Factor 2.081
2009 Impact Factor 1.795
2008 Impact Factor 2.152
2007 Impact Factor 2.188
2006 Impact Factor 1.926
2005 Impact Factor 1.76
2004 Impact Factor 1.942
2003 Impact Factor 1.799
2002 Impact Factor 1.982
2001 Impact Factor 1.935
2000 Impact Factor 2.35
1999 Impact Factor 2.006
1998 Impact Factor 1.104
1997 Impact Factor 1.366

Impact factor over time

Impact factor

Additional details

5-year impact 2.22
Cited half-life 6.40
Immediacy index 0.42
Eigenfactor 0.01
Article influence 0.86
Website Chaos website
Other titles Chaos (Woodbury, N.Y.: Online), Chaos
ISSN 1089-7682
OCLC 35131011
Material type Document, Periodical, Internet resource
Document type Internet Resource, Computer File, Journal / Magazine / Newspaper

Publisher details

American Institute of Physics

  • Pre-print
    • Author can archive a pre-print version
  • Post-print
    • Author can archive a post-print version
  • Conditions
    • Author's post-print on free e-print servers or arXiv
    • Publishers version/PDF may be used on author's personal website, institutional website or institutional repository
    • Must link to publisher version or journal home page
    • Publisher copyright and source must be acknowledged with set statement (see policy)
    • NIH-funded articles are automatically deposited with PubMed Central with open access after 12 months
    • For Medical Physics see AAPM policy
    • This policy does not apply to Physics Today
    • Publisher last contacted on 27/09/2013
    • Publisher last reviewed on 13/04/2015
  • Classification

Publications in this journal

  • [Show abstract] [Hide abstract]
    ABSTRACT: We construct a two-parameter family of moon-shaped billiard tables with boundary made of two circular arcs. These tables fail the defocusing mechanism and other known mechanisms that guarantee ergodicity and hyperbolicity. We analytically study the stability of some periodic orbits and prove there is a class of billiards in this family with elliptic periodic orbits. These moon billiards can be viewed as generalization of annular billiards, which all have Kolmogorov-Arnold-Moser islands. However, the novelty of this paper is that by varying the parameters, we numerically observe a subclass of moon-shaped billiards with a single ergodic component.
    Chaos (Woodbury, N.Y.) 08/2015; 25(8):083110. DOI:10.1063/1.4928594
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    ABSTRACT: Random rectangular graphs (RRGs) represent a generalization of the random geometric graphs in which the nodes are embedded into hyperrectangles instead of on hypercubes. The synchronizability of RRG model is studied. Both upper and lower bounds of the eigenratio of the network Laplacian matrix are determined analytically. It is proven that as the rectangular network is more elongated, the network becomes harder to synchronize. The synchronization processing behavior of a RRG network of chaotic Lorenz system nodes is numerically investigated, showing complete consistence with the theoretical results.
    Chaos (Woodbury, N.Y.) 08/2015; 25(8):083107. DOI:10.1063/1.4928333
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    ABSTRACT: In this paper, experimental neurophysiologic recording and statistical analysis are combined to investigate the nonlinear characteristic and the cognitive function of the brain. Fuzzy approximate entropy and fuzzy sample entropy are applied to characterize the model-based simulated series and electroencephalograph (EEG) series of Alzheimer's disease (AD). The effectiveness and advantages of these two kinds of fuzzy entropy are first verified through the simulated EEG series generated by the alpha rhythm model, including stronger relative consistency and robustness. Furthermore, in order to detect the abnormality of irregularity and chaotic behavior in the AD brain, the complexity features based on these two fuzzy entropies are extracted in the delta, theta, alpha, and beta bands. It is demonstrated that, due to the introduction of fuzzy set theory, the fuzzy entropies could better distinguish EEG signals of AD from that of the normal than the approximate entropy and sample entropy. Moreover, the entropy values of AD are significantly decreased in the alpha band, particularly in the temporal brain region, such as electrode T3 and T4. In addition, fuzzy sample entropy could achieve higher group differences in different brain regions and higher average classification accuracy of 88.1% by support vector machine classifier. The obtained results prove that fuzzy sample entropy may be a powerful tool to characterize the complexity abnormalities of AD, which could be helpful in further understanding of the disease.
    Chaos (Woodbury, N.Y.) 08/2015; 25(8):083116. DOI:10.1063/1.4929148
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    ABSTRACT: The duplication-divergence network model is generally thought to incorporate key ingredients underlying the growth and evolution of protein-protein interaction networks. Properties of the model have been elucidated through numerous simulation studies. However, a comprehensive theoretical study of the model is lacking. Here, we derived analytic expressions for quantities describing key characteristics of the network-the average degree, the degree distribution, the clustering coefficient, and the neighbor connectivity-in the mean-field, large-N limit of an extended version of the model, duplication-divergence complemented with heterodimerization and addition. We carried out extensive simulations and verified excellent agreement between simulation and theory except for one partial case. All four quantities obeyed power-laws even at moderate network size ( N∼10(4)), except the degree distribution, which had an additional exponential factor observed to obey power-law. It is shown that our network model can lead to the emergence of scale-free property and hierarchical modularity simultaneously, reproducing the important topological properties of real protein-protein interaction networks.
    Chaos (Woodbury, N.Y.) 08/2015; 25(8):083106. DOI:10.1063/1.4928212
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    ABSTRACT: Fractal and multifractal characteristics of self-affine surfaces of BaF2 thin films, deposited on crystalline Si ⟨1 1 1⟩ substrate at room temperature, were studied. Self-affine surfaces were prepared by irradiation of 120 MeV Ag(9+) ions which modified the surface morphology at nanometer scale. The surface morphology of virgin thin film and those irradiated with different ion fluences are characterized by atomic force microscopy technique. The surface roughness (interface width) shows monotonic decrease with ion fluences, while the other parameters, such as lateral correlation length, roughness exponent, and fractal dimension, did not show either monotonic decrease or increase in nature. The self-affine nature of the films is further confirmed by autocorrelation function. The power spectral density of thin films surfaces exhibits inverse power law variation with spatial frequency, suggesting the existence of fractal component in surface morphology. The multifractal detrended fluctuation analysis based on the partition function approach is also performed on virgin and irradiated thin films. It is found that the partition function exhibits the power law behavior with the segment size. Moreover, it is also seen that the scaling exponents vary nonlinearly with the moment, thereby exhibiting the multifractal nature.
    Chaos (Woodbury, N.Y.) 08/2015; 25(8):083115. DOI:10.1063/1.4928695
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    ABSTRACT: In the present paper, we consider a nonlinear financial market model in which, in order to decrease the complexity of the dynamics and to achieve price stabilization, we introduce a price variation limiter mechanism, which in each period bounds the price variation so that the current price is forced to belong to a certain interval determined by the price realization in the previous period. More precisely, we introduce such mechanism into a financial market model in which the price dynamics are described by a sigmoidal price adjustment mechanism characterized by the presence of two asymptotes that bound the price variation and thus the dynamics. We show that the presence of our asymptotes prevents divergence and negativity issues. Moreover, we prove that the basins of attraction are complicated only under suitable conditions on the parameters and that chaos arises just when the price limiters are loose enough. On the other hand, for some suitable parameter configurations, we detect multistability phenomena characterized by the presence of up to three coexisting attractors.
    Chaos (Woodbury, N.Y.) 08/2015; 25(8):083112. DOI:10.1063/1.4927831
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    ABSTRACT: While more rigorous and sophisticated methods for identifying Lagrangian based coherent structures exist, the finite-time Lyapunov exponent (FTLE) field remains a straightforward and popular method for gaining some insight into transport by complex, time-dependent two-dimensional flows. In light of its enduring appeal, and in support of good practice, we begin by investigating the effects of discretization and noise on two numerical approaches for calculating the FTLE field. A practical method to extract and refine FTLE ridges in two-dimensional flows, which builds on previous methods, is then presented. Seeking to better ascertain the role of a FTLE ridge in flow transport, we adapt an existing classification scheme and provide a thorough treatment of the challenges of classifying the types of deformation represented by a FTLE ridge. As a practical demonstration, the methods are applied to an ocean surface velocity field data set generated by a numerical model.
    Chaos (Woodbury, N.Y.) 08/2015; 25(8):087410. DOI:10.1063/1.4928210

  • Chaos (Woodbury, N.Y.) 08/2015; 25(8):087201. DOI:10.1063/1.4928894
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    ABSTRACT: The visibility graph method is used to transform time series into complex networks. In this letter, a fast transform algorithm is proposed for obtaining a visibility graph. Based on the strategy of "divide & conquer," the time complexity of the proposed algorithm is raised to O(n log n), which is more efficient than the previous basic algorithm whose time complexity is O(n(2)).
    Chaos (Woodbury, N.Y.) 08/2015; 25(8):083105. DOI:10.1063/1.4927835
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    ABSTRACT: In this paper, we propose a financial market model with heterogeneous speculators, i.e., optimistic and pessimistic fundamentalists that, respectively, overestimate and underestimate the true fundamental value due to ambiguity in the stock market, which prevents them from relying on the true fundamental value in their speculations. Indeed, we assume that agents use in its place fundamental values determined by an imitative process. Namely, in forming their beliefs, speculators consider the relative profits realized by optimists and pessimists and update their fundamental values proportionally to those relative profits. Moreover, differently from the majority of the literature on the topic, the stock price is determined by a nonlinear mechanism that prevents divergence issues. For our model, we study, via analytical and numerical tools, the stability of the unique steady state, its bifurcations, as well as the emergence of complex behaviors. We also investigate multistability phenomena, characterized by the presence of coexisting attractors.
    Chaos (Woodbury, N.Y.) 07/2015; 25(7):073110. DOI:10.1063/1.4926326
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    ABSTRACT: Fractal dimensions of data series, particularly time series can be estimated very well by using Higuchi's algorithm. Without phase space constructions, the fractal dimension of a one-dimensional data stream is calculated. Higuchi's method is well accepted and widely applied, because it is very reliable and easy to implement. A generalization of the genuine 1D algorithm to two dimensions would be desirable in order to investigate digital images. In this study, we propose several 2D generalization algorithms and evaluate differences between them. Additionally, a comparison to previously published pseudo 2D generalizations, and to the Fourier and the Blanket method are presented. The algorithms were tested on artificially generated grey value and red-green-blue colour images. It turned out that the proposed 2D generalized Higuchi algorithms are very robust, but differences in between the generalizations as well as differences to the pseudo 2D algorithms are astonishingly small.
    Chaos (Woodbury, N.Y.) 07/2015; 25(7):073104. DOI:10.1063/1.4923030
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    ABSTRACT: Present paper is the first one in the series devoted to the analytical investigation of energy channeling phenomena emerging in the locally resonant unit-cell model comprising an outer mass incorporating internal rotator and subject to the 2D, nonlinear local potential. In the current study, we mainly focus on the analysis of the mechanisms of formation and bifurcations of the special type of non-stationary regimes, characterized by the massive, bidirectional energy transport between the axial and the lateral vibrations of the outer element controlled by the internal, rotational device as well as the regimes of the unidirectional energy localization. The devised analytical procedure is based on a singular multi-scale analysis constructed for the special asymptotic limit corresponding to the high energy excitations. The basic question of possible coexistence of various stationary and non-stationary system regimes as well as their local and global bifurcations is addressed via the reduction of the global flow on the slow invariant manifold in the vicinity of the fundamental resonance. Numerical simulations fully confirm the analytical predictions concerning the structure of the response regimes and their bifurcations.
    Chaos (Woodbury, N.Y.) 07/2015; 25(7):073106. DOI:10.1063/1.4922964
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    ABSTRACT: Statistics of Poincaré recurrences is studied in the stroboscopic section of trajectories of a nonautonomous van der Pol oscillator in the framework of the global approach. It is shown that when the oscillator frequency and the frequency of the external force are irrationally related, the set obtained stroboscopically is equivalent to the circle map. For small values of the external amplitude, the Fibonacci stairs is constructed for the golden and silver ratios and its universal properties are confirmed. It is established that the Afraimovich-Pesin dimension for the map in the stroboscopic section is αc = 1 for Diophantine irrational rotation numbers.
    Chaos (Woodbury, N.Y.) 07/2015; 25(7):073111. DOI:10.1063/1.4926453
  • Yao Li ·
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    ABSTRACT: We investigate a class of Hamiltonian particle systems and their stochastic behaviors. Using both rigorous proof and numerical simulations, we show that the geometric configuration can qualitatively change key statistical characteristics of the particle system, which are expected to be retained by stochastic modifications. In particular, whether a particle system has an exponential mixing rate or a polynomial mixing rate depends on whether the geometric setting allows a slow particle being reached by adjacent fast particles.
    Chaos (Woodbury, N.Y.) 07/2015; 25(7):073121. DOI:10.1063/1.4927300
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    ABSTRACT: We clarify the degree to which the entropy functional puts constraints on the possibility of convergence of states in the infinite-N Kuramoto model. It is shown that convergence to the uniform incoherent state is impossible in the L 2 norm but it is left as an open question whether the same can be said about convergence in the L 1 norm. We conclude with a discussion on the entropy of the marginal density function where similar constraints do not apply.
    Chaos (Woodbury, N.Y.) 07/2015; 25(7):073109. DOI:10.1063/1.4923748