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
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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.Abstract: A newmethod of accurately computing the bifurcation of a chaotic dynamic system is proposed based on the genetic algorithm(GA). AGAmodel 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.
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Key words:
- chaos /
- mapping /
- period-double bifurcation /
- genetic algorithm
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