摘要
将Gromov-Hausdorff跟踪性(G-H跟踪性)和等距跟踪性的概念推广到了紧致度量空间上的有限生成群作用,并利用类比推理的方法得到如下结果:若群作用具有伪轨跟踪性,则其具有GH跟踪性;若群作用具有GH跟踪性,则其具有等距跟踪性.该结果可为研究拓扑动力系统的跟踪性提供参考.
The concepts of Gromov-Hausdorff shadowing property(GH-shadowing property)and isometric shadowing property were extended to finite generated group actions on compact metric spaces,and the following results were obtained using analogical reasoning:if the group action has the pseudo-orbit tracing property,it has GH-shadowing property;if the group action has GH-shadowing property,then it has isometric shadowing property.This result can provide a reference for the shadowing property research of topological dynamical systems.
作者
刘鑫磊
董美花
LIU Xinlei;DONG Meihua(College of Science,Yanbian University,Yanji 133002,China)
出处
《延边大学学报(自然科学版)》
CAS
2023年第4期308-309,340,共3页
Journal of Yanbian University(Natural Science Edition)
基金
国家自然科学基金(12201541)
吉林省教育厅科学技术研究规划项目(612021001)。