相互偶合作用下混沌系统的同步

The Synchronization of Chaos Systems under Mutual Couple

关键词:  混沌  混沌同步  相互偶合

Key words:  chaos  chaos synchronization  mutual couple

摘要:

过对混沌系统的驱动变量进行相互偶合,使不同初值下的混沌系统达到同步。同步过程不改变原系统的混沌性质。在一定的偶合强度k₂下,对Lorenz混沌系统进行了数值实验,结果在k₂>2的情况下,系统都达到了同步。这一偶合强度明显小于主动被动同步方法中的偶合强度。最后,我们对主动被动同步方法、连续反馈同步方法及相互偶合变量同步方法进行了比较,发现在一定的条件下,三种同步方法具有等价的关系。

Abstract:

Through mutual couple of the drive variables of the chaos systems, we make two chaos systems which have different initial value become synchronization. This process will not alter the character of the chaos system. Under certain strength of couple k₂, we make same numerical value experiment to Lorenz chaos system. The results show that if only k₂>2, the systems become synchronization. This strength of couple is obviously less than initiative passive method's. At the end of the paper, we compare three methods of synchronization. It is found that they are equivalence under certain conditions.