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混沌系统控制与同步的细菌觅食和差分进化混合算法
引用本文:姜飞,刘三阳,张建科,高卫峰.混沌系统控制与同步的细菌觅食和差分进化混合算法[J].计算物理,2010,27(6):933-939.
作者姓名:姜飞  刘三阳  张建科  高卫峰
作者单位:1. 西安电子科技大学理学院, 陕西 西安 710071;2. 西安邮电学院应用数理系, 陕西 西安 710121
摘    要:将混沌系统的控制与同步问题转化为函数优化问题,提出CDEM算法.把差分进化算法与细菌觅食算法相融合,提高DE算法的收敛性,并利用遗传变异算子保持种群多样性;利用CDEM算法求解混沌系统的控制与同步问题.以典型的离散混沌系统Hénon Map为例进行数值试验,结果表明算法有效、稳定,并分析各个参数对该算法的影响.

关 键 词:混沌系统  差分进化  细菌觅食  变异算子  
收稿时间:2009-09-07
修稿时间:2010-03-04

Control and Synchronization of Chaotic Systems with Synergy of Bacterial Foraging and Differential Evolution Algorithm
JIANG Fei,LIU Sanyang,ZHANG Jianke,GAO Weifeng.Control and Synchronization of Chaotic Systems with Synergy of Bacterial Foraging and Differential Evolution Algorithm[J].Chinese Journal of Computational Physics,2010,27(6):933-939.
Authors:JIANG Fei  LIU Sanyang  ZHANG Jianke  GAO Weifeng
Institution:1. Department of Science, Xidian University, Xi'an 710071, China;2. Department of Applied Mathematics and Applied Physics, Xi'an Institute of Posts and Telecommunications;Xi'an 710121, China
Abstract:Control and synchronization of chaotic systems are studied.They are transformed into numerical optimization problems.A novel hybridization of differential evolution(DE) and bacterial foraging algorithm(BFOA),called CDEM algorithm,is proposed.The algorithm incorporates an adaptive chemotactic step from the BFOA into DE,which improves convergence of the classical DE.It introduces mutation operation of genetic algorithm for enhancing population diversity.Finally,CDEM algorithm is used to chaotic system control and synchronization.Numerical simulations based on Hénon Map demonstrate effectiveness and stability of the algorithm.Effects of parameters are investigated as well.
Keywords:chaotic system  differential evolution  bacterial foraging  mutation operator  
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