混沌系统控制与同步的细菌觅食和差分进化混合算法  

Control and Synchronization of Chaotic Systems with Synergy of Bacterial Foraging and Differential Evolution Algorithm

作　　者：姜飞[1] 刘三阳[1] 张建科[1,2] 高卫峰[1] 

机构地区：[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

出　　处：《计算物理》2010年第6期933-939,共7页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(编号:60974082)资助项目

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.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.

关 键 词：混沌系统 差分进化 细菌觅食 变异算子 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]