EMERGENT PERIODIC BEHAVIOR IN COUPLED CHAOTIC SYSTEMS

Xiao-Song Yang and Lei Wang
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Xiao-Song Yang: Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, China
Lei Wang: Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, China

Advances in Complex Systems (ACS), 2006, vol. 09, issue 03, 249-261

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.

Keywords: Emergency; periodic behavior; Hopfield neural networks; chaotic systems (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0219525906000793

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