确定Logistic映射倍周期分叉点的遗传算法  

Genetic Algorithms for Period-Double Bifurcation of Logistic Mapping

作　　者：冯春[1] 陈永[1] 

机构地区：[1]西南交通大学机械工程学院,四川成都610031

出　　处：《西南交通大学学报》2003年第3期290-293,共4页Journal of Southwest Jiaotong University

基　　金：国家自然科学基金资助项目(59975077和50175093)

摘　　要：以虫口模型———Logistic映射动力系统的倍周期分叉问题为例,提出了基于遗传算法的精确计算混沌动力系统分叉点的新方法.根据动力系统在分叉点的动力学特性,研究了遗传算法求解倍周期分叉点的模型.通过数值仿真,获得了较为精确的倍周期分叉点.倍周期分叉是通向混沌的快速途径.A new method of accurately computing the bifurcation of a chaotic dynamic system is proposed based on the genetic algorithm(GA). A GA model for perioddouble bifurcation is set up from the dynamic characteristic of a dynamic system at a bifurcation point. The logistic mapping is used to demonstrate the effects of the proposed method. The numerical simulation result shows that this method is exact and a shortcut to chaos.

关 键 词：遗传算法 Logistic映射动力系统 倍周期分叉点 混沌动力系统 虫口模型 

分 类 号：O242.23[理学—计算数学] O415.5[理学—数学]