【摘要】 为衡量离散混沌映射的随机本质,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错穷尽熵的定义来分析离散混沌映射稳定性的优劣,并证明了其两个基本性质。以Logistic映射、Henon映射、Sine映射、Chebyshev映射和Cubic映射等5种常见离散混沌映射为例,说明了该方法的应用。实验结果表明,此方法能反映离散混沌映射的随机本质,可用来有效识别不同离散混沌映射的稳定性强弱。更多还原

【Abstract】 In order to reflect the random nature of discrete chaotic maps,the notion of k-error exhaustive entropy is proposed to analyse the stability of discrete chaotic maps,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 with five common discrete chaotic maps,such as Logistic map,Henon map,Sine map,Chebyshev map and Cubic map,an example is presented to demonstrate how the method works.Experiment results indicate that the approach can reflect the random nature of discrete chaotic map and can be used to evaluate the stability of different discrete chaotic maps effectively.更多还原