期刊论文详细信息
PHYSICA D-NONLINEAR PHENOMENA 卷:415
The impact of white noise on a supercritical bifurcation in the Swift-Hohenberg equation
Article
Bianchi, Luigi Amedeo1  Bloemker, Dirk2 
[1] Univ Trento, Dipartimento Matemat, Via Sommar 14, I-38123 Povo, Trento, Italy
[2] Univ Augsburg, Univ Str 14, D-86159 Augsburg, Germany
关键词: Swift-Hohenberg;    Supercritical bifurcation;    Impact of noise;    Modulation equation;    Amplitude equation;    Averaging;   
DOI  :  10.1016/j.physd.2020.132742
来源: Elsevier
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【 摘 要 】

We consider the impact of additive Gaussian white noise on a supercritical pitchfork bifurcation in an unbounded domain. As an example we focus on the stochastic Swift-Hohenberg equation with polynomial nonlinearity. Here we identify the order where small noise first impacts the bifurcation. Using an approximation via modulation equations, we provide a tool to analyse how the noise influences the dynamics close to a change of stability. (c) 2020 Elsevier B.V. All rights reserved.

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