| 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。 |
| 关键词: 保密通信 离散混沌映射 类随机性 稳定性 k错穷尽熵 |
| DOI： |
|
| 基金项目:国家自然科学基金资助项目（60802004, 51003035）；广东省科技计划项目（2011B080701092） |
|
| A New Approach to Analyse Discrete Chaotic Maps Stability Based on k-error Exhaustive Entropy |
| LIU Jing-lin,FENG Ming-ku |
| () |
| Abstract: |
| In order to reflect the random nature of discrete chaotic maps, the no
tion of k-error exhaustive entropy is proposed to analyse the stability of
discr
ete chaotic maps, which is based on exhaustive entropy used to measure the stren
gth of random-like property of chaotic sequences. And its two basic properties
a
re proved. Then with five common discrete chaotic maps, such as Logistic map, He
non map, Sine map, Chebyshev map and Cubic map, an example is presented to demon
strate 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 th
e stability of different discrete chaotic maps effectively. |
| Key words: secure communication discrete chaotic map random-like
property stability k-error exhaustive entropy |
