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A 3D Fractional-Order Chaotic System with Only One Stable Equilibrium and Controlling Chaos

Author

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  • Shiyun Shen
  • Meihua Ke
  • Ping Zhou

Abstract

One 3D fractional-order chaotic system with only one locally asymptotically stable equilibrium is reported. To verify the chaoticity, the maximum Lyapunov exponent (MAXLE) with respect to the fractional-order and chaotic attractors are obtained by numerical calculation for this system. Furthermore, by linear scalar controller consisting of a single state variable, one control scheme for stabilization of the 3D fractional-order chaotic system is suggested. The numerical simulations show the feasibility of the control scheme.

Suggested Citation

  • Shiyun Shen & Meihua Ke & Ping Zhou, 2017. "A 3D Fractional-Order Chaotic System with Only One Stable Equilibrium and Controlling Chaos," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-5, July.
    • Handle: RePEc:hin:jnddns:8434765
    DOI: 10.1155/2017/8434765
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