Periodic measures of impulsive stochastic Hopfield-type lattice systems

被引：8
|
作者：
Lin, Yusen [1 ,2 ]
Li, Dingshi [1 ,2 ]
机构：
[1] Southwest Jiaotong Univ, Sch Math, Chengdu, Peoples R China
[2] Natl Engn Lab Integrated Transportat Big Data App, Chengdu, Peoples R China
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2022年 / 40卷 / 05期
关键词：
Periodic measure; impulsive; Hopfield-type lattice system; EXPONENTIAL STABILITY; NEURAL-NETWORKS; PROPAGATION; ATTRACTORS; DYNAMICS; BEHAVIOR; DRIVEN;
D O I：
10.1080/07362994.2021.1970582
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the periodic measures of the stochastic impulsive Hopfield-type lattice systems driven by nonlinear noise. By the properties of periodic Markov processes, the existence of periodic measures for the impulsive stochastic lattice systems is established. To this end, we employ the idea of uniform estimates on the tails of the solutions to show the tightness of a family of distributions of the solutions of the lattice systems.
引用
收藏
页码：914 / 930
页数：17
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