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Global Attractors of Non-autonomous Lattice Dynamical Systems
Authors: Ceban David, Sultan Andrei
Keywords: Lattice Dynamical Systems; Global Attractors; Nonautonomous Dynamical Systems; Cocycle
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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:
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.p45Fulltext
– 0.37 Mb
Contents
- Dissipative Dirac Operator on Time Scales
- On the Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients
- Global Attractors of Non-autonomous Lattice Dynamical Systems
- The relationships between common multiples of matrices over commutative Bézout domain of stable range 1.5
- Temporal Analysis of Hidden and Standard Markov Processes with Final Sequences of States
- Continuous Gromov--Hausdorff distance
- Polynomial algorithm for the disjoint bilinear programming problem with an acute-angled polytope for a disjoint subset
- Solution of a renewal equation in population biology and epidemiology
