Random uniform exponential attractors for non-autonomous stochastic lattice systems and FitzHugh-Nagumo lattice systems with quasi-periodic forces and multiplicative noise

被引：9

作者：

Han, Zongfei ^{[1
]}

Zhou, Shengfan ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China

来源：

STOCHASTICS AND DYNAMICS | 2020年 / 20卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Random uniform exponential attractor; non-autonomous random dynamical system; lattice system; FitzHugh-Nagumo lattice system; quasi-periodic force; multiplicative noise; DYNAMICAL-SYSTEMS; WAVE-EQUATION; DIMENSION; EXISTENCE; BEHAVIOR; COCYCLE;

D O I：

10.1142/S0219493720500367

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We first give an existence criterion for a random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system defined on the product space of N-weighted spaces of infinite sequences. Then, based on this criterion, we prove the existence of random uniform exponential attractors for stochastic lattice systems and stochastic FitzHugh-Nagumo lattice systems that are both with quasi-periodic forces.

引用

页数：38

共 50 条

[1] RANDOM UNIFORM EXPONENTIAL ATTRACTORS FOR SCHRODINGER LATTICE SYSTEMS WITH QUASI-PERIODIC FORCES AND MULTIPLICATIVE WHITE NOISE
Zhang, Sijia
Zhou, Shengfan
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, 16 (3-4): : 753 - 772
[2] Random Attractors for Non-autonomous Stochastic Lattice FitzHugh-Nagumo Systems with Random Coupled Coefficients
Wang, Zhaojuan
Zhou, Shengfan
TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (03): : 589 - 616
[3] Random uniform attractors for fractional stochastic FitzHugh-Nagumo lattice systems
Li, Xintao
Gao, Yunlong
AIMS MATHEMATICS, 2024, 9 (08): : 22251 - 22270
[4] Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice FitzHugh-Nagumo systems in weighted spaces
Wang, Zhaojuan
Zhou, Shengfan
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[5] RANDOM ATTRACTORS FOR STOCHASTIC FITZHUGH-NAGUMO SYSTEMS DRIVEN BY DETERMINISTIC NON-AUTONOMOUS FORCING
Adili, Abiti
Wang, Bixiang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 18 (03): : 643 - 666
[6] Random uniform exponential attractors for non-autonomous stochastic Schr o?dinger lattice systems in weighted space
Lin, Rou
Zhao, Min
Zhang, Jinlu
AIMS MATHEMATICS, 2022, 8 (02): : 2871 - 2890
[7] Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise
Zhou, Shengfan
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 263 (04) : 2247 - 2279
[8] ATTRACTORS FOR FITZHUGH-NAGUMO LATTICE SYSTEMS WITH ALMOST PERIODIC NONLINEAR PARTS
Boughoufala, Amira M.
Abdallah, Ahmed Y.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (03): : 1549 - 1563
[9] Random Uniform Attractors for First Order Stochastic Non-Autonomous Lattice Systems
Abdallah, Ahmed Y.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (02)
[10] Random Attractors on Lattice of Stochastic FitzHugh-Nagumo Systems Driven by α-Stable Levy Noises
Gu, Anhui
Li, Yangrong
Li, Jia
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (10):

← 1 2 3 4 5 →