Global Attractors for a Class of Discrete Dynamical Systems

被引：1

作者：

Bonotto, Everaldo de Mello ^{[1
]}

Uzal, Jose Manuel ^{[2
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos,Caixa Postal 668, BR-13560970 Sao Carlos, SP, Brazil

[2] Univ Complutense Madrid, Fac Ciencias Matemat, Dept Anal Matemat & Matemat Aplicada, Madrid 28040, Spain

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2024年

关键词：

Discrete dynamical systems; Impulsive dynamical systems; Global attractors;

D O I：

10.1007/s10884-024-10356-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of global attractors for a class of discrete dynamical systems naturally originated from impulsive dynamical systems. We establish sufficient conditions for the existence of a discrete global attractor. Moreover, we investigate the relationship among different types of global attractors, i.e., the attractor A of a continuous dynamical system, the attractor A of an impulsive dynamical system and the attractor A of a discrete dynamical system. Two applications are presented, one involving an integrate-and-fire neuron model, and the other involving a nonlinear reaction-diffusion initial boundary value problem.

引用

页数：25

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