ATTRACTORS FOR FITZHUGH-NAGUMO LATTICE SYSTEMS WITH ALMOST PERIODIC NONLINEAR PARTS

被引：9

作者：

Boughoufala, Amira M. ^{[1
]}

Abdallah, Ahmed Y. ^{[1
]}

机构：

[1] Univ Jordan, Dept Math, Amman 11942, Jordan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 03期

关键词：

Non-autonomous lattice dynamical system; FitzHugh-Nagumo system; uniform global attractor; almost periodic symbol; COMPACT UNIFORM ATTRACTORS; CELLULAR NEURAL-NETWORKS; DYNAMICAL-SYSTEMS; GLOBAL ATTRACTORS; PATTERN-FORMATION; SPATIAL CHAOS; BEHAVIOR; PROPAGATION; MODELS; EQUATIONS;

D O I：

10.3934/dcdsb.2020172

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For FitzHugh-Nagumo lattice dynamical systems (LDSs) many authors studied the existence of global attractors for deterministic systems [1, 34, 41, 43] and the existence of global random attractors for stochastic systems [23, J4, 27, 48, 49], where for non-autonomous cases, the nonlinear parts are considered of the form f (u). Here we study the existence of the uniform global attractor for a new family of non-autonomous FitzHugh-Nagumo LDSs with nonlinear parts of the form f (u, t), where we introduce a suitable Banach space of functions W and we assume that f is an element of the hull of an almost periodic function f(0) (., t) with values in W.

引用

页码：1549 / 1563

页数：15

共 50 条

[1] ATTRACTORS FOR FIRST ORDER LATTICE SYSTEMS WITH ALMOST PERIODIC NONLINEAR PART
Abdallah, Ahmed Y.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (04): : 1241 - 1255
[2] ATTRACTORS OF THE KLEIN-GORDON-SCHRODINGER LATTICE SYSTEMS WITH ALMOST PERIODIC NONLINEAR PART
Abdallah, Ahmed Y.
Al-Khader, Taqwa M.
Abu-Shaab, Heba N.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (11): : 6481 - 6500
[3] Random uniform attractors for fractional stochastic FitzHugh-Nagumo lattice systems
Li, Xintao
Gao, Yunlong
AIMS MATHEMATICS, 2024, 9 (08): : 22251 - 22270
[4] Dynamics of Second Order Lattice Systems with Almost Periodic Nonlinear Part
Abdallah, Ahmed Y.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2021, 20 (02)
[5] Dynamical behavior of the almost-periodic discrete Fitzhugh-Nagumo systems
Wang, Bixiang
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (05): : 1673 - 1685
[6] Long-Time Behavior of Non-Autonomous FitzHugh-Nagumo Lattice Systems
Wannan, Rania T.
Abdallah, Ahmed Y.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2020, 19 (03)
[7] Large deviation principle for stochastic FitzHugh-Nagumo lattice systems
Chen, Zhang
Yang, Dandan
Zhong, Shitao
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 136
[8] 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):
[9] Periodic Solutions of a Periodic FitzHugh-Nagumo System
Llibre, Jaume
Vidal, Claudio
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (13):
[10] Random uniform exponential attractors for non-autonomous stochastic lattice systems and FitzHugh-Nagumo lattice systems with quasi-periodic forces and multiplicative noise
Han, Zongfei
Zhou, Shengfan
STOCHASTICS AND DYNAMICS, 2020, 20 (05)

← 1 2 3 4 5 →