安徽大学学报（自然科学版）2024，Vol.48Issue(3)：33-38,6.DOI:10.3969/j.issn.1000-2162.2024.03.005
拓扑近压的一点注记
A note on the topological nearly pressure
摘要
Abstract
Topological pressure is one of the main contents of the thermodynamic formula of dynamical systems,and it is the generalization of topological entropy.This paper introduced the concept of topological nearly pressure and studied its basic properties.Specifically,we gave the definition of topological nearly pressure of the nearly compact subsets about the R-mapped dynamical system.In addition,for non-compact sets,the Pesin regular topological pressure was defined and related basic properties were given.Finally,the equivalence of the two definitions was proved for topological R dynamical systems.关键词
拓扑近压/拓扑熵/拓扑R动力系统Key words
topological nearly pressure/topological entropy/topological R dynamical system分类
数理科学引用本文复制引用
张俊杰,赵操..拓扑近压的一点注记[J].安徽大学学报（自然科学版）,2024,48(3):33-38,6.基金项目
国家自然科学基金资助项目(11901419) （11901419）
江苏省研究生科研创新计划(KYCX23_3300) （KYCX23_3300）
上海市教委"晨光计划"项目(20CGB09) （20CGB09）
