混沌系统参数扰动方案及分析  

Chaotic system parameter perturbation scheme and its performance analysis

作　　者：常景辉 张雪锋[1] Chang Jinghui;Zhang Xuefeng(School of Cyberspace Security,Xi’an University of Posts&Telecommunications,Xi’an 710121,China)

机构地区：[1]西安邮电大学网络空间安全学院,西安710121

出　　处：《计算机应用研究》2022年第2期567-571,共5页Application Research of Computers

基　　金：陕西省自然科学基础研究计划资助项目(2021JQ-722)。

摘　　要：对混沌系统施以扰动可以有效解决由于计算机有限精度效应导致的混沌系统动力学特性退化问题。基于区间映射中Cantor集的构造方法,提出一种数字混沌系统参数扰动方案,该方案将混沌系统每次迭代后得到的序列值等比例地扩散到压缩后的混沌状态参数取值区间上,从而达到扰动混沌序列的目的。实验仿真及分析表明,增加扰动后的混沌系统具有更好的混沌特性、更大的参数范围和更高的复杂度。Perturbation of chaotic system can effectively solve the degradation of chaotic system dynamic characteristics caused by computer finite precision effect.This paper proposed parameter perturbation scheme for digital chaotic system based on the construction method of Cantor set in interval mapping.This scheme spread the sequence values obtained from each iteration of chaotic system proportionally to the compressed interval of chaotic state parameters,so as to achieve the purpose of disturbing chaotic sequence.The experimental simulation and analysis show that the chaotic system with disturbance has better chaotic characteristics,larger parameter range and higher complexity.

关 键 词：区间映射 混沌系统 扰动 压缩 

分 类 号：TP309[自动化与计算机技术—计算机系统结构]