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基于混合交叉进化算法的混沌系统参数估计

龙文 焦建军

物理学报2012,Vol.61Issue(11):171-176,6.
物理学报2012,Vol.61Issue(11):171-176,6.

基于混合交叉进化算法的混沌系统参数估计

Parameter estimation for chaotic system based on evolution algorithm with hybrid crossover

龙文 1焦建军2

作者信息

  • 1. 贵州财经学院、贵州省经济系统仿真重点实验室,贵阳550004
  • 2. 贵州财经学院、贵州省经济系统仿真重点实验室,贵阳550004 贵州财经学院数学与统计学院,贵阳550004
  • 折叠

摘要

Abstract

A hybrid-crossover-based evolution algorithm is proposed to estimate the parameters of chaotic system.Through establishing an appropriate fitness function,the parameter estimation problem is coverted into a multi-dimensional functional optimization problem. In this approach,the individual generation based on good-point-set method is introduced into the evolutionary algorithm initial step, which reinforces the stability and global exploration ability of the evolutionary algorithm.In the evolution process,it not only can be explored to induce the new individuals generated by stochastic hybrid crossover operation to fly into the better subspace,but also can avoid the premature convergence and speed up the convergence.It coordinates the exploitation ability and the exploration ability of algorithm.Numerical simulations on the benchmark function and the Lorenz system are conducted.The results demonstrate the effectiveness of the proposed algorithm,which is shown to be an effective method of parameter estimation for chaotic systems.

关键词

Lorenz混沌系统/参数估计/混合交叉/进化算法

Key words

Lorenz chaotic system/parameter estimation/hybrid crossover/evolution algorithm

分类

数理科学

引用本文复制引用

龙文,焦建军..基于混合交叉进化算法的混沌系统参数估计[J].物理学报,2012,61(11):171-176,6.

基金项目

国家自然科学基金 ()

贵州省教育厅自然科学研究培养项目 ()

贵州财经学院引进人才科研启动基金资助的课题 ()

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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