ON STABILITY OF STRUCTURES AND PATTERNS IN EXTENDED SYSTEMS

Authors
BUNIMOVICH LA FRANCESCHINI V GIBERTI C VERNIA C
Citation
La. Bunimovich et al., ON STABILITY OF STRUCTURES AND PATTERNS IN EXTENDED SYSTEMS, Physica. D, 103(1-4), 1997, pp. 412-418
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
103
Issue
1-4
Year of publication
1997
Pages
412 - 418
Database
ISI
SICI code
0167-2789(1997)103:1-4<412:OSOSAP>2.0.ZU;2-S
Abstract
We study the stability of spatial structures in extended systems. Each spatial structure consists of some simple (undecomposable) structures that we call. patterns. We show numerically for some classes of coupl ed map lattices that the stability of a spatial structure is determine d by the stability of its pattern with the minimal (spatial) scale, i. e. by the most tiny detail of this structure.