%0 Journal Article
%T Study on a class of chaotic systems with fractional order<br>一类分数阶混沌系统的研究
%A Zhao Pin-Dong
%A Zhang Xiao-Dan
%A <br>赵品栋
%A 张晓丹
%J 物理学报
%D 2008
%I 
%X 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.
%K fractional order
%K chaos
%K stability<br>分数阶
%K 混沌
%K 稳定性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=4775CEBAA8D24F33466C89021B43B5A1&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=94C357A881DFC066&sid=B92DA4008CEC559E&eid=6B7259526ED98C2B&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=29