Noise sensitivity of sub- and supercritically bifurcating patterns with group velocities close to the convective-absolute instability

The influence of small additive noise on structure formation near a forwards and near an inverted bifurcation as described by a cubic and quintic Ginzburg Landau amplitude equation, respectively, is studied numerically for group velocities in the vicinity of the convective-absolute instability where...

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Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 67; no. 4 Pt 2; p. 046301
Main Authors Szprynger, A, Lücke, M
Format Journal Article
LanguageEnglish
Published United States 01.04.2003
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Summary:The influence of small additive noise on structure formation near a forwards and near an inverted bifurcation as described by a cubic and quintic Ginzburg Landau amplitude equation, respectively, is studied numerically for group velocities in the vicinity of the convective-absolute instability where the deterministic front dynamics would empty the system.
ISSN:1539-3755
DOI:10.1103/PhysRevE.67.046301