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

Abstract

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.

16 pages, 7 Postscript figures

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