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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 5 Issue 2 (1998) pp 299-308
Pulses of tunable size near a subcritical bifurcation
S. Bottin (a), J. Lega (b)
Arizona Center for Mathematical Sciences, Department of Mathematics, University of Arizona, Bldg # 89, Tucson, AZ 85721, USA
Received: 29 May 1997 / Revised: 16 March 1998 / Accepted: 30 April 1998
Abstract: We show that a nonlinear gradient term can be used to tune the width of pulse-like solutions to a generalized quintic Ginzburg-Landau equation. We investigate the dynamics of these solutions and show that weakly turbulent patches can persist for long times. Analogies with turbulent spots in plane Couette flows are discussed.
PACS. 47.20.-k Hydrodynamic stability - 47.54.+r Pattern selection; pattern formation
(a) Permanent address: CEA Saclay - Service de Physique de l'État Condensé, 91191 Gif-sur-Yvette Cedex, France.
(b) email: lega@acms.arizona.edu
Article in PDF-Format (414 KB)
Online publication: September 16, 1998
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