混沌伪随机序列的复杂度的稳定性研究

增强统计复杂度能反映混沌伪随机序列的随机本质，在此基础上提出了k错增强统计复杂度的定义，用来衡量混沌伪随机序列复杂度的稳定性，并证明了其两个基本特性.以Logistic，Henon，Cubic，Chebyshev和Tent映射产生的混沌伪随机序列为例，说明了该方法的应用.仿真结果表明，该方法能区分不同混沌伪随机序列的稳定性，是一种衡量混沌序列稳定性的有效方法. 关键词： 稳定性 k错增强统计复杂度')" href="#">k错增强统计复杂度 混沌 伪随机序列

Research on the stability of complexity of chaos-based pseudorandom sequence

Intensive statistical complexity can reflect the random nature of chaos-based pseudorandom sequence. Based on this property, the definition of k-error intensive statistical complexity is presented and two basic properties of it are proved in this paper, which can be used to measure the stability of complexity of chaos-based pseudorandom sequences. Based on chaos-based pseudorandom sequences produced via Logistic, Henon, Cubic, Chebyshev and Tent maps, an example is given to demonstrate how it works. Simulation results indicate that the approach is effective, it can distinguish the stability of diverse chaos-based pseudorandom sequences, and is an effective way for evaluating the stability of chaos-based sequences.