耦合映射系统各种同步态的调控  

The Manipulation of Various Synchronous States of Map Systems

作　　者：何苏红[1] 李霞[1] 吴成国[1] 杜华月[1] 

机构地区：[1]解放军理工大学理学院,江苏南京211101

出　　处：《南京晓庄学院学报》2012年第3期33-36,共4页Journal of Nanjing Xiaozhuang University

基　　金：江苏省教育厅高校自然科学指导项目(09KJD140002)

摘　　要：在传统的耦合方式下,只能产生和单个振子独立存在时动力学行为相同的同步态.文章提出一种新的耦合方式,在这种耦合方式下,对于固定的全同振子组成的系统能够产生多种形式的同步态.以全局耦合的固定映射系统为例,说明在新的耦合方式下,不仅能产生混沌同步态,而且能产生规则同步态,同步态之间的转化是通过倍周期分叉的形式进行的.该结论为探索由固定系统组成的复杂网络如何实现同步提供了一个很好的途径.In a tradition way, the system can only obtain one stable synchronous state which is the same with the dynamics of an individual isolated node. A new coupling way is introduced, in which a variety of stable synchronous states can occur to the system composed of certain identical oscillators. In this new way, global coupled map systems composed of certain identical oscillators can bring out not only chaotic synchronous states, but also regular synchronous states, with the synchronous states transitting by period-doubling bifurcation. The results may provide a possibility for the control of synchronization in complex networks composed of certain systems.

关 键 词：映射系统 混沌同步 规则同步 倍周期分叉 

分 类 号：O545[理学—物理]