Noise and dynamic transitions
adap-org
2008-02-03 v1 适应与自组织系统
摘要
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.
引用
@article{arxiv.adap-org/9707007,
title = {Noise and dynamic transitions},
author = {G. D. Lythe},
journal= {arXiv preprint arXiv:adap-org/9707007},
year = {2008}
}
备注
Plain Tex, 7 pages, 2 postscript figures included