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Chaos synchronization and duration time of a class of uncertain chaotic systems

Author

Listed:
  • Bowong, Samuel
  • Kakmeni, Moukam
  • Koina, Rodoumta

Abstract

This paper addresses the problem of chaos synchronization from a control theoretic point of view. The main idea is to construct an augmented dynamical system from the synchronization error system, which is itself uncertain. A new dynamic output feedback is applied to perform synchronization in spite of master/slave mismatches. In this way, the nonidentical chaotic synchronization can be attained. The advantage of this method over the existing results is that the feedback controller has a predictable synchronization delay. The synchronization time is explicitly computed. Computer simulations are provided to verify the operation of the designed synchronization algorithm.

Suggested Citation

  • Bowong, Samuel & Kakmeni, Moukam & Koina, Rodoumta, 2006. "Chaos synchronization and duration time of a class of uncertain chaotic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 71(3), pages 212-228.
    • Handle: RePEc:eee:matcom:v:71:y:2006:i:3:p:212-228
    DOI: 10.1016/j.matcom.2006.01.006
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    Cited by:

    1. Zhao, Min & Yu, Hengguo & Zhu, Jun, 2009. "Effects of a population floor on the persistence of chaos in a mutual interference host–parasitoid model," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1245-1250.
    2. Nguyen, Le Hoa & Hong, Keum-Shik, 2011. "Synchronization of coupled chaotic FitzHugh–Nagumo neurons via Lyapunov functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(4), pages 590-603.
    3. Duan, Lian & Shi, Min & Huang, Chuangxia & Fang, Xianwen, 2021. "Synchronization in finite-/fixed-time of delayed diffusive complex-valued neural networks with discontinuous activations," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    4. Hung, Yung-Ching & Yan, Jun-Juh & Liao, Teh-Lu, 2008. "Projective synchronization of Chua's chaotic systems with dead-zone in the control input," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(4), pages 374-382.
    5. Xie, Qian & Si, Gangquan & Zhang, Yanbin & Yuan, Yiwei & Yao, Rui, 2016. "Finite-time synchronization and identification of complex delayed networks with Markovian jumping parameters and stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 35-49.
    6. Kuo, Hang-Hong & Hou, Yi-You & Yan, Jun-Juh & Liao, Teh-Lu, 2009. "Reliable synchronization of nonlinear chaotic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(5), pages 1627-1635.

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