Chaos synchronization of the fractional-order Chen’s system

Hao Zhu, Shangbo Zhou and Zhongshi He

Chaos, Solitons & Fractals, 2009, vol. 41, issue 5, 2733-2740

Abstract: In this paper, based on the stability theorem of linear fractional systems, a necessary condition is given to check the chaos synchronization of fractional systems with incommensurate order. Chaos synchronization is studied by utilizing the Pecora–Carroll (PC) method and the coupling method. The necessary condition can also be used as a tool to confirm results of a numerical simulation. Numerical simulation results show the effectiveness of the necessary condition.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:5:p:2733-2740

DOI: 10.1016/j.chaos.2008.10.005

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