摘要
给出了一个新分数阶动力系统,找到了此分数阶系统存在混沌吸引子的必要条件,数值仿真得到了其混沌吸引子.给出了实现该分数阶混沌系统的混沌电路,用EWB仿真实现了该混沌电路.EWB仿真此分数阶混沌电路的吸引子与计算机仿真此分数阶系统的吸引子的一致性表明,分数阶系统是混沌的且可以电路实现的.
A new 4D of chaotic attractors fractional-order chaos system is proposed. The necessary conditions for the existence in this new fractional-order system are obtained. This new fractional-order system is found to be chaotic for q〉0. 828 4 if the system parameter m=2. The =0.9 are obtained. A circuit is designed to realize its fractional-order chaotic attractor for q=0.83 and q chaos system for m=2 and q=0. 9 by electronic workbench (EWB).
出处
《西南大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第1期69-74,共6页
Journal of Southwest University(Natural Science Edition)
基金
重庆市高校网络控制与智能仪器仪表重点实验室开发放基金资助项目(20070F01)
关键词
分数阶混沌系统
必要条件
EWB
fractional-order chaotic system
necessary condition
electronic workbench (EWB)