LIMITING BEHAVIOR OF INVARIANT MEASURES OF HIGHLY NONLINEAR STOCHASTIC RETARDED LATTICE SYSTEMS

被引：6
作者：
Lin, Yusen [1 ]
Li, Dingshi [1 ]
机构：
[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 12期
关键词：
Stochastic lattice system; Retarded; Invariant measure; Limit measure; Highly nonlinear; DYNAMICAL-SYSTEMS; RANDOM ATTRACTORS; DRIVEN;
D O I：
10.3934/dcdsb.2022054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the limiting behavior of invariant measures of the highly nonlinear stochastic retarded lattice systems. Although invariant measures of stochastic retarded lattice system has been studied recently, there is so far no result of invariant measure of stochastic retarded lattice systems with highly nonlinear drift or diffusion terms. We first show the existence of invariant measures of the systems. We then prove that any limit point of a tight sequence of invariant measures of the stochastic retarded lattice systems must be an invariant measure of the corresponding limiting system as the intensity of noise converges or the time-delay approaches zero.
引用
收藏
页码：7561 / 7590
页数：30
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