摘要
讨论了由Logistic映射所产生的混沌序列的遍历性统计特征,对混沌序列随机过程的自协方差和互协方差相关性进行定量地分析,最后给出了混沌优化收敛性的证明,这些特征决定了混沌优化具有全局性的优点,为混沌搜索提供了理论指导。
The ergodic statistics property of chaos sequence generated by logistic map is discussed. The relevance of auto-covariance and bi-cross-covariance in random process of chaos sequences is analyzed quantitativly. Finally the convergence of chaos optimization is proved. The properties determine the overall merits of chaos optimization and provide theoretical guidance for chaos searching.
出处
《湖南工业大学学报》
2009年第3期70-73,共4页
Journal of Hunan University of Technology
基金
湖南省自然科学基金资助项目(05JJ40112)
湖南省教育厅青年基金资助项目(06C29)
