摘要
本文利用临界点的自然分划给出多峰映射的组合结构,通过定义符号路径和分离时间,引入弱的拓扑条件,证明在该条件下,一维多峰映射的Collet-Eckmann(CE)条件与向后Collet-Eckmann(BCE)条件是等价的.
In this paper, by using the natural partition generated by the critical points, we describe the combinatorial structure for multi-modal maps. Defining the symbolic itinerary and separating time, we introduce a weak topological condition, and prove that Collet-Eckmann condition and backward Collet-Eckmann condition are equivalent for multi-modal maps assuming the topological condition.
出处
《中国科学：数学》
CSCD
北大核心
2017年第1期199-204,共6页
Scientia Sinica：Mathematica
基金
国家自然科学基金(批准号:11371346)资助项目
