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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
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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
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Chaos, Solitons and Fractals; ISSN 0960-0779;
; v. 52; p. 49-52

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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
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Chaos, Solitons and Fractals; ISSN 0960-0779;
; v. 73(Complete); p. 17-28

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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)
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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
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(c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
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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
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Source
(c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
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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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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
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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
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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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Wang Yong; Liao Xiaofeng; Xiang Tao; Wong, Kwok-Wo; Yang Degang, E-mail: wangyong_cqu@163.com2007
AbstractAbstract
[en] Recently, a novel block encryption system has been proposed as an improved version of the chaotic cryptographic method based on iterating a chaotic map. In this Letter, a flaw of this cryptosystem is pointed out and a chosen plaintext attack is presented. Furthermore, a remedial improvement is suggested, which avoids the flaw while keeping all the merits of the original cryptosystem
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S0375-9601(06)01738-5; Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
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Alsedà i Soler, Lluís; Mondelo González, Josep Maria; Romero i Sànchez, David, E-mail: alseda@mat.uab.cat, E-mail: jmm@mat.uab.cat, E-mail: dromero@mat.uab.cat2017
AbstractAbstract
[en] Highlights: • We give an algorithm to compute regularities of SNA’s based on tools of de la Llave–Petrov. • It uses the Keller convergence construction to the attractor. • It uses Daubechies Wavelets with 16 vanishing moments. • The precision is two decimal digits compared with Weierstraß function. • The loss of regularity as parameter changes is observed from wavelet coefficients. We estimate numerically the regularities of a family of Strange Non-Chaotic Attractors related with one of the models studied in (Grebogi et al., 1984) (see also Keller, 1996). To estimate these regularities we use wavelet analysis in the spirit of de la Llave and Petrov (2002) together with some ad-hoc techniques that we develop to overcome the theoretical difficulties that arise in the application of the method to the particular family that we consider. These difficulties are mainly due to the facts that we do not have an explicit formula for the attractor and it is discontinuous almost everywhere for some values of the parameters. Concretely we propose an algorithm based on the Fast Wavelet Transform. Also a quality check of the wavelet coefficients and regularity estimates is done.
Primary Subject
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S0167278916301865; Available from http://dx.doi.org/10.1016/j.physd.2016.12.006; Copyright (c) 2016 Elsevier B.V. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
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Li, Y. Charles, E-mail: cli@math.missouri.edu2008
AbstractAbstract
[en] Important concepts concerning tubes in dynamical systems are defined in details. In the cases of a homoclinic tube and a heteroclinically tubular cycle in autonomous systems, existence of tubular chaos is established. The main goal of this article is to stress the importance of tubes in high dimensional dynamical systems
Primary Subject
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S0960-0779(06)00771-5; Available from http://dx.doi.org/10.1016/j.chaos.2006.07.036; Copyright (c) 2006 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. 36(5); p. 1215-1224

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