基于可扩展精度的Logistic混沌随机序列的并行计算方法

摘要

在有限计算精度下的混沌特性退化问题一直是困扰数字混沌系统的关键问题.采用可扩展精度并行方法计算Logistic映射,对混沌函数进行分步计算,利用动态数组保存计算结果.基于可扩展精度计算混沌,打破了计算机内有限精度的限制,用户可以自由指定计算精度.实验结果表明,基于可扩展精度的混沌随机数列,随着精度的增加,映射空间扩大,得到的混沌序列更加接近于理想的混沌状态.%The dynamical degradation of chaos with finite computing precision always troubles digital chaotic systems. A parallel method for computing the Logistic map with scalable precision was introduced; in which chaotic map was divided into several parts for computing, and the results were placed in the dynamical array. Computing chaotic map with scalable precision breaks limit of computer finite precision, allowing the user to set the computing precision freely. The experimental results show that the higher the precision is, the greater the mapping space will be, with the chaotic random sequences with scalable precision approaching the ideal state of chaos.