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Chaos and synchronization of the fractional-order Chua’s system

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  • Zhu, Hao
  • Zhou, Shangbo
  • Zhang, Jun

Abstract

Chaotic synchronization of fractional-order Chua’s system is further studied. An algorithm for numerical solution of fractional-order differential equations is presented; the chaos in a fractional-order Chua system with some parameters is discussed. The scheme of synchronization system consist of fractional-order Chua’s system is constructed. The synchronization conditions are investigated theoretically. And the synchronization thresholds are discussed by utilizing bifurcation graphs.

Suggested Citation

  • Zhu, Hao & Zhou, Shangbo & Zhang, Jun, 2009. "Chaos and synchronization of the fractional-order Chua’s system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1595-1603.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:4:p:1595-1603
    DOI: 10.1016/j.chaos.2007.06.082
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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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    5. Li, C.P. & Deng, W.H. & Xu, D., 2006. "Chaos synchronization of the Chua system with a fractional order," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 171-185.
    6. Gao, Xin & Yu, Juebang, 2005. "Chaos in the fractional order periodically forced complex Duffing’s oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1097-1104.
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