The emergence of chaos in complex dynamical networks

Hai-Feng Zhang, Rui-Xin Wu and Xin-Chu Fu

Chaos, Solitons & Fractals, 2006, vol. 28, issue 2, 472-479

Abstract: The emergence of chaos is an important issue in the study of coupled dynamical networks. In this paper, we suppose that all nodes are non-chaotic before they are coupled together, however, the chaotic state will emerge without changing each node’s parameter if these nodes are connected through a certain type of network. First we give a sufficient condition for the emergence of chaotic state, then such mergence in several types of networks are discussed. Moreover, we extend our results to a general case. Finally, we illustrate our results by some numerical examples.

Date: 2006
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:2:p:472-479

DOI: 10.1016/j.chaos.2005.07.001

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