Universal shape law of stochastic supercritical bifurcations: Theory and experiments
Pattern Formation and Solitons
2009-11-13 v1
Abstract
A universal law for the supercritical bifurcation shape of transverse one-dimensional (1D) systems in presence of additive noise is given. The stochastic Langevin equation of such systems is solved by using a Fokker-Planck equation leading to the expression for the most probable amplitude of the critical mode. From this universal expression, the shape of the bifurcation, its location and its evolution with the noise level are completely defined. Experimental results obtained for a 1D transverse Kerr-like slice subjected to optical feedback are in excellent agreement.
Keywords
Cite
@article{arxiv.nlin/0702057,
title = {Universal shape law of stochastic supercritical bifurcations: Theory and experiments},
author = {Gonzague Agez and Marcel G. Clerc and Eric Louvergneaux},
journal= {arXiv preprint arXiv:nlin/0702057},
year = {2009}
}
Comments
5 pages, 5 figures