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IMI/Publicaţii/BASM/Ediţii/BASM n2(108)-n3(109), 2025/

Global Attractors of Non-autonomous Lattice Dynamical Systems

Authors: Ceban David, Sultan Andrei
Keywords: Lattice Dynamical Systems; Global Attractors; Nonautonomous Dynamical Systems; Cocycle

Abstract

The aim of this paper is studying the compact global attractors for non-autonomous lattice dynamical systems of the form $u_{i}'=\nu (u_{i-1}-2u_i+u_{i+1})-\lambda u_{i}+f(u_i)+f_{i}(t)\ (i\in \mathbb Z,\ \lambda >0)$. We prove their dissipativness, asymptotic compactness and then the existence of compact global attractors.

David Cheban
Moldova State University
Vladimir Andrunachievici Institute of Mathematics and
Computer Science
Laboratory of Differential Equations
A. Mateevich Street 60
MD–2009 Chisinau, Moldova
E-mail: ,

Andrei Sultan
Moldova State University
Vladimir Andrunachievici Institute of Mathematics and
Computer Science
Laboratory of Differential Equations
A. Mateevich Street 60
MD–2009 Chisinau, Moldova
E-mail:

DOI

https://doi.org/10.56415/basm.y2025.i2-3.p45

Fulltext

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