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A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control

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  • Yinlan Chen
  • Haodong Zhang
  • Xu Kong
  • Ailong Wu

Abstract

We construct for the first time a fractional-order hyperchaotic system via the original integer-order system. The dynamical behavior of this fractional-order hyperchaotic system is investigated in detail using first approximation method and Lyapunov exponents. Next, an adaptive control strategy for the univariate controlled hyperchaotic system has been proposed. Also, the tracking performance is fully taken into account in numerous applications, for instance, tracking sinusoidal periodic signal, self-synchronization, and generalized synchronization of heterogeneous structure. Simulation results illustrate the validity and performability of the proposed adaptive tracking control scheme.

Suggested Citation

  • Yinlan Chen & Haodong Zhang & Xu Kong & Ailong Wu, 2021. "A New Fractional-Order Hyperchaotic System and Its Adaptive Tracking Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-9, February.
    • Handle: RePEc:hin:jnddns:6625765
    DOI: 10.1155/2021/6625765
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    Cited by:

    1. Iskakova, Kulpash & Alam, Mohammad Mahtab & Ahmad, Shabir & Saifullah, Sayed & Akgül, Ali & Yılmaz, Gülnur, 2023. "Dynamical study of a novel 4D hyperchaotic system: An integer and fractional order analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 219-245.

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