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 | |
【 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.
【 授权许可】
Free
【 预 览 】
Files | Size | Format | View |
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10_1016_j_physd_2020_132742.pdf | 496KB | download |