Author(s)

Xiaojun Liu, Xuefeng Liang

Corresponding Author

Xiaojun Liu

Abstract

In this paper, the dynamics of a new fractional-order system is investigated. Firstly, the numerical solutions of the system by the improved predictor-corrector algorithm are obtained. Based on this, the dynamics of the system is analyzed by numerical simulations. A chaotic attractor and periodic orbits with different values of the derivative order or the system parameter are demonstrated.

Keywords

Dynamics, Fractional-Order System, Chaos