一种新的混沌序列生成方式

A New Approach to Generate Chaotic Sequences

提出了一种通过构造变参数复合混沌系统来实现有限精度混沌系统的方法 .考察了这种方法对混沌信号的功率谱特性和李雅普诺夫指数的影响 .研究表明 ,利用该方法可以方便地生成大量具有良好自相关特性和互相关特性的混沌序列 .

This paper presents an approach to realize finite precision chaotic systems by constructing a variable parameter compound chaotic system. By setting parameter list and switch condition, a discrete chaotic system can be transformed into the variable parameter chaotic system. Based on this, the variable parameter compound chaotic system can be constructed by coupling two or more than two variable parameter chaotic systems. How to set up a variable parameter chaotic system with a logistic map is demonstrated. The way to establish a variable parameter compound chaotic system is illustrated by compounding a parabola map and a tent map. It is shown that a great number of chaotic sequences with wonderful correlation properties can be generated conveniently by this method. Compared with the original chaotic systems, the sequences generated by the compound system derived from them have more smooth power spectra and larger lyapunov index.