白噪声驱动的非自治随机时滞格点动力系统的动力学及二重上半连续性  

Dynamic of Non-autonomous Stochastic Delay Lattice System Driven by White Noise and Double Upper Semicontinuity

作　　者：张一进[1,2] 林宗兵 罗淼 ZHANG YIJIN;LIN ZONGBING;LUO MIAO(Key Lab of Intelligent Analysis and Decision on Complea Systems,Chongqing Municipal,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;School of Mathematics,Sichuan University,Chengdu 610064,China;School of Mathematics and Computer Science,Panzhihua University,Panzhihua 617000,China)

机构地区：[1]重庆邮电大学复杂系统智能分析与决策重庆高校重点实验室,重庆400065 [2]四川大学数学学院,成都610065 [3]攀枝花学院数学与计算机学院,攀枝花617000

出　　处：《应用数学学报》2025年第1期1-19,共19页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金项目(No.11901073);重庆市自然科学基金面上项目(cstc2019jcyj-msxmX0716);重庆市教委科技研究项目(No.KJQN201900619);攀枝花学院博士科研启动基金项目(bkqj2019050)资助。

摘　　要：本文说明了白噪声驱动的非自治随机时滞格点方程的解生成共环.进行了一致估计,尾估计,并证明该系统存在拉回随机吸引子.最后证明了时滞动力系统的随机吸引子当时滞和特定参数同时收敛时的二重上半连续性.In this paper,we explain the solution of the non-autonomous stochastic delay lattice equation driven by white noise generating a continuous cocycle.Uniform estimation and tail estimation are performed,and it is proved that the system has a D-pullback random attractor.We prove the double upper semicontinuity of random attractors for delay system when the delay and a certain parameter converge simultaneously.

关 键 词：随机时滞格点动力系统 随机吸引子 白噪声 二重上半连续性 

分 类 号：O175.2[理学—数学]