Stability of localized structures in the Swift-Hohenberg equation

Authors
Sanchez-Morcillo, VJ Staliunas, K
Citation
Vj. Sanchez-morcillo et K. Staliunas, Stability of localized structures in the Swift-Hohenberg equation, PHYS REV E, 60(5), 1999, pp. 6153-6156
Citations number
18
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
60
Issue
5
Year of publication
1999
Part
B
Pages
6153 - 6156
Database
ISI
SICI code
1063-651X(199911)60:5<6153:SOLSIT>2.0.ZU;2-G
Abstract
We show that nonmonotonic (oscillatory) decay of the boundaries of phase do mains is crucial for the stability of localized structures in systems descr ibed by Swift-Hohenberg equation. The less damped (more oscillatory) are th e boundaries, the larger are the existence ranges of the localized structur es. For very weakly damped spatial oscillations, higher-order localized str uctures are possible. [S1063-651X(99)07010-5].