基于收缩映射的奇异非混沌系统同步

THE SYNCHRONIZATION OF STRANGE NONCHAOTIC SYSTEMS BASED ON CONTRACTION MAPS 

提出一种基于收缩映射的奇异非混沌系统同步方案．通过利用一种混沌系统驱动另一种混沌系统产生出奇异非混沌吸引子，由于奇异非混沌吸引子的Ｌｙａｐｕｎｏｖ 指数为负值，因而可有效抑制混沌系统对初始状态的敏感程度．为实现两个奇异非混沌吸引子的同步，文中采用收缩映射实现混沌驱动系统的快速同步．研究表明，该方案能够快速实现同步，并且有较强的鲁棒性，易于实现。

In this paper, a new method of synchronization of strange nonchaotic systems is proposed. Strange nonchaotic attractors are obtained from a chaotic system.driven by another chaotic system. Because the Lyapunov exponent of the strange nonchaotic attractor is negative, it can suppresses the sensitive dependence on initial conditions of the chaotic system. In order to synchronize the strange nonchaotic system, contraction map is used to synchronize the chaotic driving system. Simulations indicate that this method can synchronize fast, be robust to nose, easily be implemented and can be used in the field of chaotic secure communication.