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Chaos synchronization of the fractional-order Chen’s system

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  • Zhu, Hao
  • Zhou, Shangbo
  • He, Zhongshi

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.

Suggested Citation

  • Zhu, Hao & Zhou, Shangbo & He, Zhongshi, 2009. "Chaos synchronization of the fractional-order Chen’s system," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2733-2740.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2733-2740
    DOI: 10.1016/j.chaos.2008.10.005
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    References listed on IDEAS

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    1. Li, Changpin & Yan, Jianping, 2007. "The synchronization of three fractional differential systems," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 751-757.
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