%0 Journal Article
%T Chaos in fractional-order Liu system and a fractional-order unified system and the synchronization between them<br>分数阶Liu系统与分数阶统一系统中的混沌现象及二者的异结构同步
%A Zhang Cheng-Fen
%A Gao Jin-Feng
%A Xu Lei
%A <br>张成芬
%A 高金峰
%A 徐磊
%J 物理学报
%D 2007
%I 
%X This paper studies the chaotic behaviors of the fractional-order Liu system and the fractional-order unified system which were presented several years ago. It is found that chaos exists in the both systems with order less than three and the lowest order to have chaos is 0.3. The calculation results of the maximum Lyapunov exponents when the system is chaotic illustrate the existence of chaos. Chaos synchronization between fractional-order Liu system, fractional-order Lorenz system and fractional-order Lü sytem is realized by employing active control technique. Theoretieal analysis and numerical simulations demonstrate the effectiveness of the proposed method.
%K fractional-order Liu system
%K fractional-order unified system
%K chaos
%K synchronization<br>分数阶Liu系统
%K 分数阶统一系统
%K 混沌
%K 异结构同步
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=E2673DCBB0B5AFC2&yid=A732AF04DDA03BB3&vid=014B591DF029732F&iid=9CF7A0430CBB2DFD&sid=9C6957D855B6641B&eid=1190E2D3DE356EBE&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=20