Dynamics Analysis and Control of a Five-Term Fractional-Order System

Li-xin Yang and Xiao-jun Liu

Discrete Dynamics in Nature and Society, 2018, vol. 2018, 1-10

Abstract:

This paper proposes a new fractional-order chaotic system with five terms. Firstly, basic dynamical properties of the fractional-order system are investigated in terms of the stability of equilibrium points, Jacobian matrices theoretically. Furthermore, rich dynamics with interesting characteristics are demonstrated by phase portraits, bifurcation diagrams numerically. Besides, the control problem of the new fractional-order system is discussed via numerical simulations. Our results demonstrate that the new fractional-order system has compound structure.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8284121

DOI: 10.1155/2018/8284121

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