摘要
提出了一种处理不同系统之间的部分同步问题的方法.给出了此问题意义下的部分同步的定义,并以Liapunov函数方法分析了方法的稳定性,推导出了控制项的形式.通过实例对计算结果的分析与讨论说明了该方法的可行性,并考察了同步系统的动力学行为且发现对于响应系统各种动力学状态通过选取合适的控制项部分同步都能达到.
A new method for partial synchronization between different systems was obtained. The definition of partial synchronization under which the problem works is given. The stability of the method is analyzed by the Liapunov function method and the condition of choosing the control term is derived. The reliability of this method is proved by some numerical examples, in which the dynamical behaviors of the synchronized systems are observed and it is found that whatever state the response system is partial synchronization can be always achieved by adding some proper control term.
出处
《应用数学和力学》
EI
CSCD
北大核心
2005年第9期1033-1037,共5页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10171061)
关键词
混沌
混沌同步
部分同步
chaos
chaos synchronization
partial synchronization
