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Chaos synchronization of a new 3D chaotic system

Author

Listed:
  • Wu, Yue
  • Zhou, Xiaobing
  • Chen, Jia
  • Hui, Bei

Abstract

In this paper, we address chaos synchronization problems of a new 3D chaotic system via three different methods. Active control and backstepping design methods are adopted when system parameters are known, and adaptive control method is applied when system parameters are unknown. The corresponding sufficient conditions to achieve synchronization between two identical systems are obtained based on the Lyapunov stability theory. Numerical simulations are presented to demonstrate the effectiveness and feasibility of the analytical results.

Suggested Citation

  • Wu, Yue & Zhou, Xiaobing & Chen, Jia & Hui, Bei, 2009. "Chaos synchronization of a new 3D chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1812-1819.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1812-1819
    DOI: 10.1016/j.chaos.2009.03.092
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    References listed on IDEAS

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    1. Tigan, Gheorghe & Opriş, Dumitru, 2008. "Analysis of a 3D chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1315-1319.
    2. Qi, Guoyuan & Chen, Guanrong & van Wyk, Michaël Antonie & van Wyk, Barend Jacobus & Zhang, Yuhui, 2008. "A four-wing chaotic attractor generated from a new 3-D quadratic autonomous system," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 705-721.
    3. Qi, Guoyuan & Chen, Guanrong & Zhang, Yuhui, 2008. "On a new asymmetric chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 409-423.
    4. Qi, Guoyuan & Chen, Guanrong & Du, Shengzhi & Chen, Zengqiang & Yuan, Zhuzhi, 2005. "Analysis of a new chaotic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 295-308.
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    Cited by:

    1. Karawanich, Khunanon & Prommee, Pipat, 2022. "High-complex chaotic system based on new nonlinear function and OTA-based circuit realization," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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