一类4阶Feigenbaum映射的拟极限集  

Likely Limit Sets of a 4-Order Feigenbaum's Map

作　　者：王立娟[1] 张爱华[2] 

机构地区：[1]吉林大学数学学院,长春130012 [2]南京邮电学院应用数理系,南京210003

出　　处：《吉林大学学报（理学版）》2003年第4期436-439,共4页Journal of Jilin University:Science Edition

摘　　要：讨论一类 4阶 Feigenbaum映射的拟极限集及其 Hausdorff维数 ,并证明对任意t∈ ( 0 ,log 3+12 ) ,总存在一类具有简单轨的 4阶非单谷 Feigenbaum映射 ,它有一个以 t为Hausdorff维数的拟极限集 .On the basis of considering the likely limit sets of a 4-order Feigenbaum's map and their Hausdorff dimension, we have proved that for any t∈(0,log_(3+1)2), there always exits such a 4-order nonsingle-valley Feigenbaum's map which has a likely limit set with Hausdorff dimension t.

关 键 词：FEIGENBAUM映射 拟极限集 HAUSDORFF维数 简单轨 连续映射空间 压缩映射 

分 类 号：O189.11[理学—数学]