山西大学学报（自然科学版）2025，Vol.48Issue(4)：692-699,8.DOI:10.13451/j.sxu.ns.2024053
G-链连续点和G-极限跟踪性
G-chain Continuous Point and G-limit Shadowing Property
摘要
Abstract
We introduced the concepts of G-chain continuous poin and G-limit shadowing property in metric G-space.By using the properties of equivariant map and commutative group,we studied the dynamical properties of G-chain continuous poin and G-limit shadowing property,and obtained the following results.(1)The equivalent condition is given for every point to be G-chain continu-ous.That is,the mapfis G-equicontinuous and has G-shadowing property in metric G-space;(2)G-expansivity and G-shadowing property imply G-limit shadowing property.These results enrich the theory of G-chain continuous point and G-limit shadowing property in metric G-space.关键词
G-等度连续/G-链连续点/G-扩张性/G-极限跟踪性/G-跟踪性Key words
G-equicontinuity/G-chain continuous point/G-expansivity/G-limit shadowing property/G-shadowing property分类
数理科学引用本文复制引用
冀占江,陈占和,刘海林..G-链连续点和G-极限跟踪性[J].山西大学学报（自然科学版）,2025,48(4):692-699,8.基金项目
国家自然科学基金(12126415) （12126415）
广西自然科学基金(2020JJA110021) （2020JJA110021）
梧州市科技计划项目(2024C03015) （2024C03015）
