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

摘要

The influence of small additive noise on structure formation near a forwardsand near an inverted bifurcation as described by a cubic and quintic GinzburgLandau amplitude equation, respectively, is studied numerically for groupvelocities in the vicinity of the convective-absolute instability where thedeterministic front dynamics would empty the system.