摘要
推广了一类分数阶混沌系统并证明了这类分数阶混沌系统的拓扑等价性,指出分数阶系统产生混沌吸引子的必要条件是系统平衡点的稳定性不变.通过数值模拟表明,此分数阶系统与整数阶系统一样仍然产生一对互不相交的2-涡卷混沌吸引子.
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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2008年第5期2791-2798,共8页
Acta Physica Sinica
关键词
分数阶
混沌
稳定性
fractional order, chaos, stability
