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Compound Synchronization of Four Chaotic Complex Systems

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  • Junwei Sun
  • Yi Shen
  • Guangzhao Cui

Abstract

The chaotic complex system is designed from the start of the chaotic real system. Dynamical properties of a chaotic complex system in complex space are investigated. In this paper, a compound synchronization scheme is achieved for four chaotic complex systems. According to Lyapunov stability theory and the adaptive control method, four chaotic complex systems are considered and the corresponding controllers are designed to realize the compound synchronization scheme. Four novel design chaotic complex systems are given as an example to verify the validity and feasibility of the proposed control scheme.

Suggested Citation

  • Junwei Sun & Yi Shen & Guangzhao Cui, 2015. "Compound Synchronization of Four Chaotic Complex Systems," Advances in Mathematical Physics, Hindawi, vol. 2015, pages 1-11, October.
    • Handle: RePEc:hin:jnlamp:921515
    DOI: 10.1155/2015/921515
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    Cited by:

    1. Weiqiu Pan & Tianzeng Li & Muhammad Sajid & Safdar Ali & Lingping Pu, 2022. "Parameter Identification and the Finite-Time Combination–Combination Synchronization of Fractional-Order Chaotic Systems with Different Structures under Multiple Stochastic Disturbances," Mathematics, MDPI, vol. 10(5), pages 1-26, February.

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