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Adaptive synchronization of a new hyperchaotic system with uncertain parameters

Author

Listed:
  • Gao, Tiegang
  • Chen, Zengqiang
  • Yuan, Zhuzhi
  • Yu, Dongchuan

Abstract

This paper discusses control for the master–slave synchronization of a new hyperchaos with five uncertain parameters. An adaptive control law is derived to make the states of two identical hyperchaotic systems asymptotically synchronized based on the Lyapunov stability theory. Finally, a numerical simulation is presented to verify the effectiveness of the proposed synchronization scheme.

Suggested Citation

  • Gao, Tiegang & Chen, Zengqiang & Yuan, Zhuzhi & Yu, Dongchuan, 2007. "Adaptive synchronization of a new hyperchaotic system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 922-928.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:3:p:922-928
    DOI: 10.1016/j.chaos.2006.01.042
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    References listed on IDEAS

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    1. Park, Ju H., 2005. "Adaptive synchronization of Rossler system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 333-338.
    2. Park, Ju H., 2005. "Adaptive synchronization of hyperchaotic Chen system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 959-964.
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    Cited by:

    1. Li, Damei & Wang, Pei & Lu, Jun-an, 2009. "Some synchronization strategies for a four-scroll chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2553-2559.
    2. Wei Feng & Xiangyu Zhao & Jing Zhang & Zhentao Qin & Junkun Zhang & Yigang He, 2022. "Image Encryption Algorithm Based on Plane-Level Image Filtering and Discrete Logarithmic Transform," Mathematics, MDPI, vol. 10(15), pages 1-24, August.
    3. Wu, Wenjuan & Chen, Zengqiang & Yuan, Zhuzhi, 2009. "The evolution of a novel four-dimensional autonomous system: Among 3-torus, limit cycle, 2-torus, chaos and hyperchaos," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2340-2356.
    4. Aguilar-Bustos, A.Y. & Cruz-Hernández, C., 2009. "Synchronization of discrete-time hyperchaotic systems: An application in communications," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1301-1310.

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