Attractors for second order lattice dynamical systems
type: Item
instance of: scholarly article
title: Attractors for second order lattice dynamical systems
zbMATH Open document ID: 1002.37040
author: Shengfan Zhou
published in: Journal of Differential Equations
publication date: 2003-01-12T00:00:00Z
review text: The second order lattice system \[ \ddot{u}_i+h(\dot u_i)-(u_{i-1}-2u_{i}+u_{i+1})+\lambda u_i+f(u_i)=g_i,\quad i\in \mathbb{Z}, \] is considered, where \(\lambda>0\), \((g_i)_i\in\ell^2\), and the nonlinearities \(f\) and \(g\) satisfy some regularity and monotonicity assumtpions. The existence of global attractor in a suitable state space (\(\ell^2\times\ell^2\)) is established and its semicontinuity properties are studied.
reviewed by: Peter Poláčik
Mathematics Subject Classification ID: 37L60
Mathematics Subject Classification ID: 37L25
zbMATH DE Number: 1744214
zbMATH Keywords: second-order lattice dynamical systems
zbMATH Keywords: attractors
zbMATH Keywords: semicontinuity
MaRDI profile type: Publication
full work available at URL: jdeq.2001.4032
OpenAlex ID: W2044774063
cites work: Synchronization in lattices of coupled oscillators
cites work: Q4039920
cites work: Infinite-dimensional dynamical systems in mechanics and physics
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DOI: 10.1006/JDEQ.2001.4032
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description: scientific article; zbMATH DE number 1744214