Abstract: The notion of k-error exhaustive entropy is proposed, which is based on exhaustive entropy used to measure the strength of random-like property of chaotic sequences, and its two basic properties are proved. Then the method is used to analyze the stability of random-like property of three common continuous chaotic systems, such as Lorenz system, R?ssler system, and Chua’s system. 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 R?ssler system as the source of randomness.

Key words: continuous chaotic system, random-like property, stability, k-error exhaustive entropy

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、Rossler系统、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；作为随机源，Chua’s系统比Lorenz系统和R?ssler系统更好。

关键词: 连续混沌系统, 类随机性, 稳定性, k错穷尽熵