Feigenbaum映射的吸引子  

Attractors for Feigenbaum’s maps

作　　者：刘国清[1] 矫思琦[1] 迟艳辉[2] 

机构地区：[1]大庆师范学院数学科学学院,黑龙江大庆163712 [2]大庆师范学院教育科学学院,黑龙江大庆163712

出　　处：《高师理科学刊》2010年第6期14-16,共3页Journal of Science of Teachers＇College and University

摘　　要：介绍了一类p阶Feigenbaum映射f及其特征集C(f)的概念,通过证明限制映射f︱C(f)与p进位系统拓扑共轭,指出f︱C(f)是极小的,唯一遍历的且具有零拓扑熵.对于一类2阶Feigenbaum映射证明其特征集就是2进位吸引子.ntroduced a type of p-order Feigenbaum’s mapping f and the concept of its characteristic set C（f）.By proving the topological conjugacy between the restricted mapping f︱C（f） and p-adic system,indicated that f︱C（f） is minimal,uniquely ergodic and has zero topological entropy.For a type of 2 order Feigenbaum’s maps,it was proved that the characteristic set is a 2-adic attractor.

关 键 词：FEIGENBAUM映射 吸引子 p进位系统 

分 类 号：O189.1[理学—数学]