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

Shiyun Shen, Meihua Ke and Ping Zhou

Discrete Dynamics in Nature and Society, 2017, vol. 2017, 1-5

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8434765

DOI: 10.1155/2017/8434765

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