非单谷Feigenbaum映射拟极限集的可乘积性  

Productivity of Likely Limit Sets of Nonsingle-Valley Feigenbaum's Maps

作　　者：王立娟[1] 张慧[1] 郑小红[1] 

机构地区：[1]嘉兴学院数学与信息科学学院,浙江嘉兴314001

出　　处：《科技通报》2007年第2期163-165,170,共4页Bulletin of Science and Technology

基　　金：浙江省教育厅科研项目(20051845)

摘　　要：p(p=3,4)阶Feigenbaum映射可以产生混沌。本文讨论了p阶非单谷Feigenbaum乘积映射的分形拟极限集,证明Feigenbaum乘积映射的拟极限集不但存在,而且就等于每个因子映射拟极限集的乘积。p-order（p=3 or 4） Feigenbaum＇s maps may bring on chaos. In this paper, productivity of likely limit sets of p-order nonsingle-valley Feigenbaum＇s maps was studied. We proved not only their existence, but their forms, i.e., just equal productivity of their factors.

关 键 词：P阶非单谷Feigenbaum映射 螺线 分形拟极限集 

分 类 号：O189.1[理学—数学]