关于非自治系统三类广义同步存在性的研究  

The existence of three types of generalized synchronization of non-autonomous systems

作　　者：胡爱花[1,2] 徐振源[1] 过榴晓[1] 

机构地区：[1]江南大学理学院,无锡214122 [2]江南大学信息工程学院,无锡214122

出　　处：《物理学报》2009年第9期6030-6038,共9页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:60575038);江南大学青年基金(批准号:314000-52210756);江南大学创新团队发展计划资助的课题~~

摘　　要：研究了两个单向耦合的非自治系统三类广义同步的存在性.在响应系统的修正方程具有渐近稳定平衡点、渐近稳定周期轨道或渐近稳定拟周期轨道的情况下,满足一定的条件,可将广义同步化流形存在性问题转化为Lipschitz函数族的压缩不动点问题,并且理论证明了该广义同步化流形的指数吸引性.同时,以Duffing系统为例进行了数值仿真,其结果与理论推导相一致.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 quasiperiodic 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.

关 键 词：广义同步化流形 压缩不动点 指数吸引性 

分 类 号：O415.5[理学—理论物理]