四川大学学报（自然科学版）2026，Vol.63Issue(2)：316-322,7.DOI:10.19907/j.0490-6756.240099
脉冲半流的上度量平均维数
Upper metric mean dimensions for impulsive semi-flow
摘要
Abstract
In this paper,a new upper metric mean dimension is introduced for impulsive semi-flows to better characterize their complexity.First,relationship between the upper metric mean dimension and existing upper metric mean dimensions is investigated.Then the consistence of the upper metric mean dimension with exist-ing upper metric mean dimensions is proven for the continuous semi-flows.Meanwhile,it is also proven that any regular impulsive semi-flow is semi-conjugate to a continuous semi-flow with the same upper metric mean dimension under suitable conditions.Finally,the variational principle for impulsive semi-flows is established.关键词
脉冲半流/上度量平均维数/变分原理Key words
impulsive semi-flow/upper metric mean dimension/variational principle分类
数理科学引用本文复制引用
成丹丹,王国涛,成斌..脉冲半流的上度量平均维数[J].四川大学学报（自然科学版）,2026,63(2):316-322,7.基金项目
国家自然科学基金(12201372) （12201372）
