Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
1997-07-31
Nonlinear Sciences
Adaptation and Self-Organizing Systems
Plain Tex, 7 pages, 2 postscript figures included
Scientific paper
A parabolic stochastic PDE is studied analytically and numerically, when a bifurcation parameter is slowly increased through its critical value. The aim is to understand the effect of noise on delayed bifurcations in systems with spatial degrees of freedom. Realisations of the nonautonomous stochastic PDE remain near the unstable configuration for a long time after the bifurcation parameter passes through its critical value, then jump to a new configuration. The effect of the nonlinearity is to freeze in the spatial structure formed from the noise near the critical value.
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