具有随机扰动连续时滞混沌系统的同步

Synchronization of Time-Delay Chaotic Systems With Random Perturbation

连续时滞混沌系统是无穷维系统 ,可以产生具有多个正的Lyapunov指数的超混沌 ,因此系统可以产生复杂的时间序列。这个特征使它特别适用于保密通讯。基于降阶观测器理论 ,给出了一种同步具有随机扰动连续时滞混沌系统的新方法。最后 ,数值仿真表明了该方法的有效性。

Chaotic systems governed by delay differential equations have an infinite-dimensional state space, and can produce hyperchaos with an arbitrarily large number of positive Lyapunov exponents, giving rise to very complex time signals. With this feature, the systems are especially suitable for high-security communications. According to the observer theory, a new method is proposed in this paper to synchronize delay chaotic systems with random perturbation. At last, some simulation examples are given to demonstrate the effectiveness of the proposed method.\;