脉冲半流的上度量平均维数OA

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.