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Luo Chuanwen; Yi Chundi; Wang Gang; Li Longsuo; Wang Chuncheng, E-mail: lcw1234562000@yahoo.com.cn, E-mail: wangchuncheng@hit.edu.cn2009
AbstractAbstract
[en] Uniform index is a conception that can describe the uniformity of a finite point set in a polyhedron, and is closely related to chaos. In order to study uniform index, the concept of contained uniform index is defined, which is similar to uniform index and has good mathematical properties. In this paper, we prove the convergence of the contained uniform index, and develop the base of proving the convergence of uniform index.
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S0960-0779(09)00341-5; Available from http://dx.doi.org/10.1016/j.chaos.2009.03.181; Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779;
; v. 42(5); p. 2748-2753

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Beregov, R.Y.; Melkikh, A.V., E-mail: melkikh2008@rambler.ru2015
AbstractAbstract
[en] In this article, we consider a system of autonomous inductively coupled Van der Pol generators. For two coupled generators, we establish the presence of metastable chaos, a strange non-chaotic attractor, and several stable limiting cycles. Areas of parametric dependence of different modes of synchronization are obtained
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S0960-0779(14)00237-9; Available from http://dx.doi.org/10.1016/j.chaos.2014.12.017; Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779;
; v. 73(Complete); p. 17-28

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Xu, Dongsheng; Xiang, Kaili; Liang, Shudi, E-mail: xudongshengmath@126.com, E-mail: xiangkl@swufe.edu.cn, E-mail: 1361417426@qq.com2019
AbstractAbstract
[en] Let be rotations on the unit circle and define as for , , where is the shift, and and are rotational angles. It is first proved that the system exhibits maximal distributional chaos for any (no assumption of ), generalizing Theorem 1 in Wu and Chen (Topol. Appl. 162:91–99, 2014). It is also obtained that is cofinitely sensitive and -sensitive and that is densely chaotic if and only if .
Primary Subject
Source
Copyright (c) 2019 The Author(s); Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Advances in Difference Equations (Online); ISSN 1687-1847;
; v. 2019(1); p. 1-10

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Han, Zhujuan; Niu, Min, E-mail: niuminfly@sohu.com2013
AbstractAbstract
[en] The relationship between some kinds of substitutions and admissible sequences is studied. Sufficient and necessary conditions for the admissibility of the sequences generated by non-constant length substitution and constant length substitution are investigated respectively
Primary Subject
Source
S0960-0779(13)00057-X; Available from http://dx.doi.org/10.1016/j.chaos.2013.03.011; Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779;
; v. 52; p. 49-52

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Paradisi, Paolo; Kaniadakis, Giorgio; Scarfone, Antonio Maria, E-mail: paolo.paradisi@isti.cnr.it2015
AbstractAbstract
No abstract available
Primary Subject
Source
S0960-0779(15)00296-9; Available from http://dx.doi.org/10.1016/j.chaos.2015.09.017; Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779;
; v. 81(Part B); p. 407-411

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AbstractAbstract
[en] This paper investigates the equal combination synchronization of a class of chaotic systems. The chaotic systems are assumed that only the output state variable is available and the output may be discontinuous state variable. By constructing proper observers, some novel criteria for the equal combination synchronization are proposed. The Lorenz chaotic system is taken as an example to demonstrate the efficiency of the proposed approach
Primary Subject
Source
(c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Cárdenas A, P P; González G, J; Correa V, G, E-mail: ppablo@utp.edu.co2019
AbstractAbstract
[en] This paper presents a simple example of a chaotic system, the denomination logistic equation, to illustrate and emphasize the distinctive characteristics of chaos, which are the extreme dependence on initial conditions and complexity of behavior. (paper)
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Secondary Subject
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1. Workshop on Modeling and Simulation for Science and Engineering; Pereira (Colombia); 20-21 Aug 2019; Available from http://dx.doi.org/10.1088/1742-6596/1403/1/012002; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Literature Type
Conference
Journal
Journal of Physics. Conference Series (Online); ISSN 1742-6596;
; v. 1403(1); [5 p.]

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Wang, Lei; Yang, Xiao-Song, E-mail: yangxs@hust.edu.cn2015
AbstractAbstract
[en] This letter restudies the Nosé-Hoover oscillator. Some new averagely conservative regions are found, each of which is filled with different sequences of nested tori with various knot types. Especially, the dynamical behaviors near the border of “chaotic region” and conservative regions are studied showing that there exist more complicated and thinner invariant tori around the boundaries of conservative regions bounded by tori. Our results suggest an infinite number of island chains in a “chaotic sea” for the Nosé-Hoover oscillator
Primary Subject
Source
(c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Zheng Qiang; Zhang Xiaoping; Ren Zhongzhou, E-mail: qzhengnju@gmail.com2008
AbstractAbstract
[en] Anti-synchronization between different hyperchaotic systems is presented using Lorenz and Liu systems. When the parameters of two systems are known, one can use active synchronization. When the parameters are unknown or uncertain, the adaptive synchronization is applied. The simulation results verify the effectiveness of the proposed two schemes for anti-synchronization between different hyperchaotic systems
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Source
Available from http://dx.doi.org/10.1088/0253-6102/50/3/31; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Communications in Theoretical Physics; ISSN 0253-6102;
; v. 50(3); p. 677-680

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Lampart, Marek; Oprocha, Piotr, E-mail: marek.lampart@vsb.cz, E-mail: oprocha@agh.edu.pl2016
AbstractAbstract
[en] We study the dynamics of Laplacian-type coupling induced by logistic family , where , on a periodic lattice, that is the dynamics of maps of the form where determines strength of coupling. Our main objective is to analyze the structure of attractors in such systems and especially detect invariant regions with nontrivial dynamics outside the diagonal. In analytical way, we detect some regions of parameters for which a horseshoe is present; and using simulations global attractors and invariant sets are depicted.
Primary Subject
Source
S0167278916303116; Available from http://dx.doi.org/10.1016/j.physd.2016.06.010; Copyright (c) 2016 Elsevier B.V. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
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