Stochastic D-bifurcation for a damped sine-Gordon equation with noise

We investigate the stochastic bifurcation of a damped sine-Gordon equation with Dirichlet boundary conditions under the influence of multiplicative Gaussian white noise. Introducing a slow time scale, we derive the amplitude equations near the trivial solution by multiscale analysis. And the station...

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Bibliographic Details
Main Authors: Qiongwei Huang, Changfeng Xue, Jiashi Tang
Format: Article
Language:English
Published: AIP Publishing LLC 2015-04-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4918302