Xiong Xiaohua; Wang Junwei, E-mail: xhxiong8899@yahoo.com.cn2009
AbstractAbstract
[en] Based on the generalized Lorenz system, a conjugate Lorenz-type system is introduced, which contains three different chaotic attractors, i.e., the conjugate Lorenz attractor, the conjugate Chen attractor and the conjugate Lue attractor. These new attractors are conjugate, respectively, to the Lorenz attractor, the Chen attractor and the Lue attractor in an algebraic sense. The conjugate attractors may be helpful for finally revealing the geometric structure of the Lorenz attractor.
Primary Subject
Source
S0960-0779(07)00658-3; Available from http://dx.doi.org/10.1016/j.chaos.2007.08.087; Copyright (c) 2007 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. 40(2); p. 923-929

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Xiong Xiaohua; Wang Jinlian; Zhou Tianshou, E-mail: mcszhtsh@zsu.edu.cn2007
AbstractAbstract
[en] Contraction principle is introduced in this paper. Based on such a principle, a rigorous criterion for stability of the synchronous manifold in nonlinearly-coupled identical systems for both chaotic and nonchaotic cases is derived. Such a criterion can be straightforwardly applied to arbitrarily nonlinearly coupled systems (whether regular or random, low or high dimensional, directed or undirected). Moreover, the synchrony guaranteed by the criterion is global and can be against the effect of noise
Primary Subject
Source
S0960-0779(05)01142-2; Copyright (c) 2005 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. 32(3); p. 1147-1153

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Xiong Xiaohua; Wang Junwei; Zhang Yanbin; Zhou Tianshou, E-mail: xhxiong8899@yahoo.com.cn2007
AbstractAbstract
[en] Synchronization of coupled dynamical systems including periodic and chaotic systems is investigated both anlaytically and numerically. A novel method, mode decomposition, of treating the stability of a synchronous state is proposed based on the Floquet theory. A rigorous criterion is then derived, which can be applied to arbitrary coupled systems. Two typical numerical examples: coupled Van der Pol systems (corresponding to the case of coupled periodic oscillators) and coupled Lorenz systems (corresponding to the case of chaotic systems) are used to demonstrate the theoretical analysis
Primary Subject
Source
S0960-0779(05)00978-1; Copyright (c) 2005 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. 31(3); p. 718-725

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Wang Junwei; Xiong Xiaohua; Zhao Meichun; Zhang Yanbin, E-mail: wangjunweilj@yahoo.com.cn2008
AbstractAbstract
[en] This paper studies stability and synchronization of hyperchaos systems via a fuzzy-model-based control design methodology. First, we utilize a Takagi-Sugeno fuzzy model to represent a hyperchaos system. Second, we design fuzzy-model-based controllers for stability and synchronization of the system, based on so-called 'parallel distributed compensation (PDC)'. Third, we reduce a question of stabilizing and synchronizing hyperchaos systems to linear matrix inequalities (LMI) so that convex programming techniques can solve these LMIs efficiently. Finally, the generalized Lorenz hyperchaos system is employed to illustrate the effectiveness of our designing controller
Primary Subject
Source
S0960-0779(06)00535-2; Available from http://dx.doi.org/10.1016/j.chaos.2006.05.087; Copyright (c) 2006 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. 35(5); p. 922-930

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