Pattern selection at an instability with broadened sidebands

Authors
Citation
B. Rumpf, Pattern selection at an instability with broadened sidebands, PHYS LETT A, 290(3-4), 2001, pp. 134-138
Citations number
8
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
0375-9601 → ACNP
Volume
290
Issue
3-4
Year of publication
2001
Pages
134 - 138
Database
ISI
SICI code
0375-9601(20011112)290:3-4<134:PSAAIW>2.0.ZU;2-F
Abstract
The spatiotemporal pattern formation in the vicinity of a codimension-2 bif urcation with a quartic eigenvalue spectrum is studied. The interaction of modes on long time scales is derived. It is shown that a nonlinear focusing process selects a narrow band of modes and suppresses the other unstable m odes. On an intermediate length scale, a travelling wave pattern emerges. I ts modulations on long space scales are governed by a dispersive complex Gi nzburg-Landau equation. (C) 2001 Elsevier Science B.V. All rights reserved.