DETERMINING NODES FOR EXTENDED DISSIPATIVE SYSTEMS

Authors
COLLET P TITI ES
Citation
P. Collet et Es. Titi, DETERMINING NODES FOR EXTENDED DISSIPATIVE SYSTEMS, Nonlinearity, 9(5), 1996, pp. 1089-1097
Citations number
12
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
9
Issue
5
Year of publication
1996
Pages
1089 - 1097
Database
ISI
SICI code
0951-7715(1996)9:5<1089:DNFEDS>2.0.ZU;2-S
Abstract
We prove that two close enough points forms a set of determining nodes for the complex Ginzburg-Landau equation on the whole real line. In d imension two, a rectangular lattice of small enough lattice size forms a set of determining nodes, and the averages over the squares of this lattice form a set of determining volume elements.