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EMERGENT PERIODIC BEHAVIOR IN COUPLED CHAOTIC SYSTEMS

XIAO-SONG YANG

Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, China

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and

LEI WANG

Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, China

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https://doi.org/10.1142/S0219525906000793Cited by:0 (Source: Crossref)

Abstract

Emergent behavior in interconnected systems (complex systems) is of fundamental significance in natural and engineering sciences. A commonly investigated problem is how complicated dynamics take place in dynamical systems consisting of (often simple) subsystems. It is shown though numerical experiments that emergent order such as periodic behavior can likely take place in coupled chaotic dynamical systems. This is demonstrated for the particular case of coupled chaotic continuous time Hopfield neural networks. In particular, it is shown that when two chaotic Hopfield neural networks are coupled by simple sigmoid signals, periodic behavior can emerge as a consequence of this coupling.

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