区间映射与其诱导函数包络序列熵关系  

The Relation of Sequence Entropy Between Interval Map and its Function Envelope Induced

作　　者：赵海林[1] 

机构地区：[1]合肥工业大学数学学院,合肥230009

出　　处：《大学数学》2016年第3期24-29,共6页College Mathematics

基　　金：国家自然基金(11001071;11171320);中央高校基本科研业务费(2015HGZX0017)

摘　　要：研究了区间映射的拓扑序列熵与其诱导的函数包络上的拓扑序列熵之间的关系.证明了区间映射诱导的函数包络的拓扑序列熵只能为0或+∞,并且当区间映射的拓扑序列熵大于0时,其诱导的函数包络上的拓扑序列熵为+∞.We mainly study the relationship of the topological sequence entropy between the interval map and its function envelope. We prove that the topological sequence entropy of the function envelope induced by interval map is either zero or infinite, and when the topologieal sequence entropy of the interval map is greater than zero, the topological sequence entropy of the function envelope induced by interval map is infinite.

关 键 词：区间映射 函数包络 拓扑序列熵 

分 类 号：O189.11[理学—数学]