非自治动力系统Bowen估计熵的变分原理  

A variational principle for Bowen estimation entropy of nonautonomous dynamical systems

作　　者：刘磊 彭冬梅 Liu Lei;Peng Dongmei(School of Mathematics and Statistics,Shangqiu Normal University,Shangqiu 476000,China)

机构地区：[1]商丘师范学院数学与统计学院,河南商丘476000

出　　处：《纯粹数学与应用数学》2022年第1期25-43,共19页Pure and Applied Mathematics

基　　金：国家自然科学基金(11401363);河南省高等学校青年骨干教师培养计划(2018GGJS134).

摘　　要：推广了经典动力系统的Bowen拓扑熵,给出了非自治动力系统的Bowen估计熵的定义,讨论了非自治动力系统的Bowen估计熵和局部估计熵的关系,推广了自治动力系统Bowen拓扑熵的Billingsley型定理,研究了非自治动力系统的Bowenα-估计熵的Billingsley型定理.此外,给出了非自治动力系统Bowen估计熵的变分原理.In this paper,we study the Bowen estimation entropy for nonautonomous dynamical systems,which is an extension of the classical definition of Bowen entropy in autonomous dynamical systems.We show that the Bowen estimation entropy can be determined by the local estimation entropies of measures for nonautonomous dynamical systems.Also,we establish a variational principle for Bowen estimation entropy on compact subsets in the context of nonautonomous dynamical systems.

关 键 词：Bowen估计熵 测度理论下α-估计熵 非自治动力系统 变分原理 

分 类 号：O193[理学—数学]