Upper metric mean dimensions for impulsive semi-flows

被引：1
|
作者：
Cheng, Dandan [1 ]
Li, Zhiming [1 ]
机构：
[1] Northwest Univ, Sch Math, Xian 710127, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 311卷
基金：
中国国家自然科学基金;
关键词：
Impulsive dynamical system; Semi-flow; Upper metric mean dimension; SEMIDYNAMICAL SYSTEMS; TOPOLOGICAL-ENTROPY; PERIODIC-ORBITS; GROWTH-RATES; FLOWS; SETS;
D O I：
10.1016/j.jde.2021.12.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we introduce three definitions of upper metric mean dimensions for semi-flows. We prove that the three definitions coincide for continuous semi-flows. Then we conclude that any impulsive semi-flow, under certain conditions, is semi-conjugate to a continuous semi-flow with same upper metric mean dimensions. As a corollary, a variational principle is obtained for impulsive semi-flows. (c) 2021 Elsevier Inc. All rights reserved.
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页码：81 / 97
页数：17
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