统一混沌系统的耦合同步

Coupled synchronization of the unified chaotic system

对线性耦合的两个统一混沌系统同步进行研究.基于线性时变连续系统的稳定性理论,得到初始值不同的两个统一混沌系统全局渐进同步的一种新的充分条件.另外,与已经提出的判定统一混沌系统同步的方法进行比较,发现这里得到的充分条件的约束关系少、缺少保守性,而且满足的耦合系数范围更广.将该方法应用于统一混沌系统,数值仿真表明了该方法的有效性与可行性.

This paper investigaes the synchronization of two linearly coupled unified chaotic systems. A new sufficient condition of global asymptotic synchronization is attained from the theory of stability of time-varying systems. In addition, compared with the previously proposed method, the sufficient condition for the synchronization of two linearly coupled unified chaotic systems is simpler and less conservative, and the range of coupled coefficients is wider. Numerical simulation shows the effectiveness and feasibility of this method.