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连续动力系统的广义同步
引用本文:张刚,刘曾荣,马忠军.连续动力系统的广义同步[J].应用数学和力学,2007,28(2):141-146.
作者姓名:张刚  刘曾荣  马忠军
作者单位:1. 石家庄学院数学系,石家庄,050035;上海大学理学院,上海,200444
2. 上海大学系统生物技术研究所,上海,200444
3. 上海大学理学院,上海,200444
摘    要:讨论连续的混沌动力系统之间的广义同步.利用Liapunov稳定性理论,通过构造适当的耦合项,得到了一个关于驱动响应系统广义同步的充分条件.并通过对两个例子的数字模拟,说明了充分条件的有效性.

关 键 词:广义同步  可微的广义同步  Liapunov函数
文章编号:1000-0887(2007)02-0141-06
修稿时间:2005-03-18

Generalized Synchronization of Continuous Dynamical System
ZHANG Gang,LIU Zeng-rong,MA Zhong-jun.Generalized Synchronization of Continuous Dynamical System[J].Applied Mathematics and Mechanics,2007,28(2):141-146.
Authors:ZHANG Gang  LIU Zeng-rong  MA Zhong-jun
Institution:1. Department of Mathematics, Shijiazhuang Colleye,Shijiazhuang 050035, P.R. China;2. Institute of System Biology, Shanghai University, Shanghai 200444, P. R. China; 3. College of Sciences, Shanghai University, Shanghai 200444, P. R. China
Abstract:Generalized synchronization between two continuous dynamical systems is discussed.By exploring the Liapunov stability theory and constructing appropriately unidirectional coupling term,a sufficient condition for determining the generalized synchronization between continuous systems was proved.Two examples are used to show the effectiveness of this result.
Keywords:generalized synchronization  differentiable generalized synchronization  Liapunov function
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