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
张一进 1林宗兵 2罗淼2
作者信息
- 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;四川大学数学学院,成都 610065
- 2. 攀枝花学院数学与计算机学院,攀枝花 617000
- 折叠
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.
Abstract
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 simulta-neously.
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Key words
non-autonomous stochastic delay lattice system/random attractor/white noise/double upper semicontinuity引用本文复制引用
出版年
2025
NETL
NSTL
万方数据