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混沌结构非等效系统的同步

Synchronization of chaotic structurally nonequivalent systems.

作者信息

Boccaletti S, Valladares DL, Kurths J, Maza D, Mancini H

机构信息

Department of Physics and Applied Mathematics, Universidad de Navarra, Irunlarrea s/n, 31080 Pamplona, Spain.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Apr;61(4 Pt A):3712-5. doi: 10.1103/physreve.61.3712.

DOI:10.1103/physreve.61.3712
PMID:11088148
Abstract

Synchronization features are explored for a pair of chaotic high-dimensional bidirectionally coupled structurally nonequivalent systems. We find two regimes of synchronization in dependence on the coupling strength: creation of a lower dimensional chaotic state, and for larger coupling a transition toward a stable periodic motion. We characterize this new state, showing that it is associated with an abrupt transition in the Lyapunov spectrum. The robustness of this state against noise is discussed, and the use of this dynamical property as a possible approach for the control of chaos is outlined.

摘要

针对一对混沌高维双向耦合结构不等价系统,研究了同步特性。我们发现,根据耦合强度存在两种同步状态:产生低维混沌状态,以及对于较大耦合时向稳定周期运动的转变。我们对这种新状态进行了表征,表明它与李雅普诺夫谱中的突然转变有关。讨论了这种状态对噪声的鲁棒性,并概述了将这种动力学特性用作控制混沌的一种可能方法。

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