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Synchronizing chaotic map from the two-valued symbolic sequences

Author

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  • Hu, Hanping
  • Wu, Xiaogang
  • Wang, Zuxi

Abstract

An approach is proposed to synchronize chaotic map from the two-valued symbolic sequences generated by this chaotic map. In this approach, a synchronization model by using variable feedback control is firstly constructed. Then the variable in the control function is replaced by Gray Ordering Number (GON), which is computed from the two-valued symbolic sequences. The substitute model can achieve synchronization by using GON feedback control. Numerical results demonstrated by Logistic map show that this approach can achieve identical synchronization in a short time with parameter known, and achieve generalized synchronization with parameter unknown.

Suggested Citation

  • Hu, Hanping & Wu, Xiaogang & Wang, Zuxi, 2005. "Synchronizing chaotic map from the two-valued symbolic sequences," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1059-1064.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:4:p:1059-1064
    DOI: 10.1016/j.chaos.2004.09.057
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