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

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.