%0 Journal Article
%T The existence of three types of generalized synchronization of non-autonomous systems
关于非自治系统三类广义同步存在性的研究
%A Hu Ai-Hu
%A Xu Zhen-Yuan
%A Guo Liu-Xiao
%A
胡爱花
%A 徐振源
%A 过榴晓
%J 物理学报
%D 2009
%I
%X The existence of three types of generalized synchronization of unidirectionally coupled non-autonomous systems is studied. When the modified response system collapses to an asymptotically stable equilibrium, asymptotically stable periodic or quasi-periodic orbits, under certain conditions, the existence of generalized synchronization can be turned to the problem of compression fixed point in the family of Lipschitz functions. Theoretical proofs are proposed to the exponential attractive property of generalized synchronization manifold. In addition, the Duffing system was taken for illustration and verification.
%K generalized synchronization manifold
%K compression fixed point
%K exponential attractive property
广义同步化流形,
%K 压缩不动点,
%K 指数吸引性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=3028F86E85D03C170D261544B0810B68&yid=DE12191FBD62783C&vid=9FFCC7AF50CAEBF7&iid=9CF7A0430CBB2DFD&sid=EEE1A6050468D98C&eid=8AF84C082B90BD5A&journal_id=1000-3290&journal_name=物理学报&referenced_num=1&reference_num=0