连续混沌系统的稳定性分析

摘要

在用穷尽熵计算混沌序列类随机性强弱的基础上,提出了k错穷尽熵的定义,并证明了它的两个基本性质,然后用此方法分析了三种常见连续混沌系统:Lorenz系统、R(o)ssler系统和Chua's系统的类随机性的稳定性.仿真结果表明,此方法能反映连续混沌系统的随机本质；而作为随机源,Chua's系统比Lorenz系统和R(o)ssler系统更好.%The notion of k-error exhaustive entropy was proposed, based on exhaustive entropy. It was used to measure the strength of random-like property of chaotic sequences, and its two basic properties were proved. Then the method was used to analyze the stability of random-like property of three common continuous chaotic systems, such as Lorenz system, Rossler system, and Chua' s system. The simulation results show that the approach can reflect the random essence of continuous chaotic system and Chua' s system is better than Lorenz system and Rossler system as the source of randomness.