Attractors for lattice dynamical systems

Authors
Bates, PW Lu, KN Wang, BX
Citation
Pw. Bates et al., Attractors for lattice dynamical systems, INT J B CH, 11(1), 2001, pp. 143-153
Citations number
32
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
11
Issue
1
Year of publication
2001
Pages
143 - 153
Database
ISI
SICI code
0218-1274(200101)11:1<143:AFLDS>2.0.ZU;2-8
Abstract
We study the asymptotic behavior of solutions for lattice dynamical systems . We first prove asymptotic compactness and then establish the existence of global attractors. The upper semicontinuity of the global attractor is als o obtained when the lattice differential equations are approached by finite -dimensional systems.