Study on a class of chaotic systems with fractional order
一类分数阶混沌系统的研究

In this paper, a class of chaotic systems with fractional order is generalized and their topological equivalence is proved. It indicates that the necessary condition for a system with fractional order to generate chaotic attractor is to maintain the stability of the equilibrium points of the system. Numerical simulation shows that, similar to chaotic systems with integer order, the class of chaotic systems with fractional order can also generate a couple of double-scroll chaotic attractors.