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CONTROLLING CHAOS BY AN IMPROVED ESTIMATION OF DISTRIBUTION ALGORITHM
Huang, Xingli1; Jia, Peifa1; Liu, Bo2
2010
发表期刊MATHEMATICAL & COMPUTATIONAL APPLICATIONS
ISSN1300-686X
卷号15期号:5页码:866-871
摘要Control and synchronization of chaotic systems are important issues in nonlinear sciences. This paper proposes an effective estimation of distribution algorithm (EDA)-based memetic algorithm (MA) to direct the orbits of discrete chaotic dynamical systems as well as to synchronize chaotic systems, which could be formulated as complex multi-modal numerical optimization problems. In EDA-based MA (EDAMA), both EDA-based searching operators and simulated annealing (SA) based local searching operators are designed to balance the exploration and exploitation abilities. On the other hand, global information provided by EDA is combined with local information from SA to create better solutions. In particular, to enrich the searching behaviors and to avoid premature convergence, SA-based local search is designed and incorporated into EDAMA. To balance the exploration and exploitation abilities, after the standard EDA-based searching operation, SA-based local search is probabilistically applied to some good solutions selected by using a roulette wheel mechanism with a specified probability. Numerical simulations based on Henon Map demonstrate the effectiveness and efficiency of EDAMA, and the effects of some parameters are investigated as well.
关键词Estimation of Distribution Algorithm Chaotic dynamics
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Interdisciplinary Applications
WOS记录号WOS:000285667000017
出版者ASSOC SCI RES
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/10674
专题系统科学研究所
通讯作者Huang, Xingli
作者单位1.Tsinghua Univ, Dept Comp Sci & Technol, Beijing 100084, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Ctr Forecasting Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Huang, Xingli,Jia, Peifa,Liu, Bo. CONTROLLING CHAOS BY AN IMPROVED ESTIMATION OF DISTRIBUTION ALGORITHM[J]. MATHEMATICAL & COMPUTATIONAL APPLICATIONS,2010,15(5):866-871.
APA Huang, Xingli,Jia, Peifa,&Liu, Bo.(2010).CONTROLLING CHAOS BY AN IMPROVED ESTIMATION OF DISTRIBUTION ALGORITHM.MATHEMATICAL & COMPUTATIONAL APPLICATIONS,15(5),866-871.
MLA Huang, Xingli,et al."CONTROLLING CHAOS BY AN IMPROVED ESTIMATION OF DISTRIBUTION ALGORITHM".MATHEMATICAL & COMPUTATIONAL APPLICATIONS 15.5(2010):866-871.
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