整数群Z-部分作用的动力系统的回复性

doi:10.6040/j.issn.1671-9352.0.2023.380

摘要/Abstract

摘要： 对整数群Z-部分作用的动力系统,引入部分作用各种回复点的定义;同时研究其性质及其之间的关系;最后,给出2个整数群 Z-部分作用的动力系统在拓扑半共轭条件下各种回复点之间的关系。

关键词: 整数群Z-部分作用, 部分作用周期点, 部分作用ω极限点, 部分作用拓扑传递, 部分作用非游荡点

Abstract: Dynamical systems for integer groups Z-partial action, the notions of various partially recurrent points are introduced. Simultaneously, the relationship and properties of various partially recurrent points are studied. Finally, we investigate the relationship of various partially recurrent points of two semi-equivalent topological partial actions.

Key words: integer groups Z-partial action, partially periodic point, partially ω limit point set, partially topological transitive, partially non-wandering point

中图分类号:

O192

成丹丹,王国涛. 整数群Z-部分作用的动力系统的回复性[J]. 《山东大学学报(理学版)》, 2024, 59(12): 109-113.

CHENG Dandan, WANG Guotao. Resilience of dynamical systems for the integer groups Z-partial actions[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(12): 109-113.

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