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

被引：10

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 56 条

[1]

Abdallah A. Y., 2005, J APPL MATH, V2005, P273, DOI DOI 10.1155/JAM.2005.273

[2] ATTRACTORS FOR FIRST ORDER LATTICE SYSTEMS WITH ALMOST PERIODIC NONLINEAR PART [J].