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Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers

Author

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  • Tianzeng Li
  • Yu Wang
  • Yong Yang

Abstract

In this paper, the synchronization of fractional-order chaotic systems is studied and a new fractional-order controller for hyperchaos synchronization is presented based on the Lyapunov stability theory. The proposed synchronized method can be applied to an arbitrary four-dimensional fractional hyperchaotic system. And we give the optimal value of control parameters to achieve synchronization of fractional hyperchaotic system. This approach is universal, simple, and theoretically rigorous. Numerical simulations of several fractional-order hyperchaotic systems demonstrate the universality and the effectiveness of the proposed method.

Suggested Citation

  • Tianzeng Li & Yu Wang & Yong Yang, 2014. "Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-14, April.
    • Handle: RePEc:hin:jnddns:408972
    DOI: 10.1155/2014/408972
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    Cited by:

    1. Laarem, Guessas, 2021. "A new 4-D hyper chaotic system generated from the 3-D Rösslor chaotic system, dynamical analysis, chaos stabilization via an optimized linear feedback control, it’s fractional order model and chaos sy," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Haq, Sirajul & Ghafoor, Abdul & Hussain, Manzoor, 2019. "Numerical solutions of variable order time fractional (1+1)- and (1+2)-dimensional advection dispersion and diffusion models," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 107-121.

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