混沌同步的充分条件及应用

Sufficient conditions of chaotic synchronization and its applications

对两大类常用连续混沌系统,给出了同步的充分条件,以及状态变量的演化范围,对其作了证明,从理论上分析了这些充分条件一定可实现.作为应用,证明了时变参数混沌同步的实现充分条件,并用Chua系统仿真实现.时变参数混沌同步通信具有强抗破译性,也给出其抗破译的仿真.

At present time, only necessary conditions of chaotic synchronization are known, and applications of chaotic synchronization is limited. In this paper, sufficient conditions of continuous chaotic system synchronization and the proofs are presented, and evolutive range of state variables is presented, too. We proved the conditions are realizable. As an application of the theory, we proved sufficient conditions of time-varying parameter chaotic synchronization, and made simulations by Chua circuits. Time varying parameter chaotic synchronization communication has high security performance, and the simulations that it defeat all kinds of attacks of eavesdroppers are presented.