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Synchronization of hyperchaotic oscillators via single unidirectional chaotic-coupling

Author

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  • Zou, Yan-Li
  • Zhu, Jie
  • Chen, Guanrong
  • Luo, Xiao-Shu

Abstract

In this paper, synchronization of two hyperchaotic oscillators via a single variable’s unidirectional coupling is studied. First, the synchronizability of the coupled hyperchaotic oscillators is proved mathematically. Then, the convergence speed of this synchronization scheme is analyzed. In order to speed up the response with a relatively large coupling strength, two kinds of chaotic coupling synchronization schemes are proposed. In terms of numerical simulations and the numerical calculation of the largest conditional Lyapunov exponent, it is shown that in a given range of coupling strengths, chaotic-coupling synchronization is quicker than the typical continuous-coupling synchronization. Furthermore, A circuit realization based on the chaotic synchronization scheme is designed and Pspice circuit simulation validates the simulated hyperchaos synchronization mechanism.

Suggested Citation

  • Zou, Yan-Li & Zhu, Jie & Chen, Guanrong & Luo, Xiao-Shu, 2005. "Synchronization of hyperchaotic oscillators via single unidirectional chaotic-coupling," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1245-1253.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:5:p:1245-1253
    DOI: 10.1016/j.chaos.2004.11.064
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    Cited by:

    1. Zou, Yan-li & Zhu, Jie, 2006. "Controlling the chaotic n-scroll Chua’s circuit with two low pass filters," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 400-406.
    2. Yao, Zhao & Zhou, Ping & Alsaedi, Ahmed & Ma, Jun, 2020. "Energy flow-guided synchronization between chaotic circuits," Applied Mathematics and Computation, Elsevier, vol. 374(C).

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