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Pattern selection at an instability with broadened sidebands

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UNSPECIFIED (2001) Pattern selection at an instability with broadened sidebands. PHYSICS LETTERS A, 290 (3-4). pp. 134-138. ISSN 0375-9601

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Abstract

The spatiotemporal pattern formation in the vicinity of a codimension-2 bifurcation 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 modes. On an intermediate length scale, a travelling wave pattern emerges. Its modulations on long space scales are governed by a dispersive complex Ginzburg-Landau equation. (C) 2001 Elsevier Science B.V. All rights reserved.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Journal or Publication Title: PHYSICS LETTERS A
Publisher: ELSEVIER SCIENCE BV
ISSN: 0375-9601
Date: 12 November 2001
Volume: 290
Number: 3-4
Number of Pages: 5
Page Range: pp. 134-138
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/11547

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