The impact of white noise on a supercritical bifurcation in the Swift-Hohenberg equation
| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Bianchi, Luigi Amedeo; Blömker, Dirk |
| Year of publication: | 2021 |
| Published in: | Physica D: Nonlinear Phenomena ; 415 (2021). - 132742. - Elsevier. - ISSN 0167-2789. - eISSN 1872-8022 |
| ArXiv-ID: | arXiv:2005.09676v2 |
| DOI (citable link): | https://dx.doi.org/10.1016/j.physd.2020.132742 |
| Summary: |
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.
|
| Subject (DDC): | 510 Mathematics |
| Keywords: | Swift–Hohenberg, Supercritical bifurcation, Impact of noise, Modulation equation, Amplitude equation, Averaging |
| Refereed: | Unknown |
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BIANCHI, Luigi Amedeo, Dirk BLÖMKER, 2021. The impact of white noise on a supercritical bifurcation in the Swift-Hohenberg equation. In: Physica D: Nonlinear Phenomena. Elsevier. 415, 132742. ISSN 0167-2789. eISSN 1872-8022. Available under: doi: 10.1016/j.physd.2020.132742
@article{Bianchi2021impac-52966, title={The impact of white noise on a supercritical bifurcation in the Swift-Hohenberg equation}, year={2021}, doi={10.1016/j.physd.2020.132742}, volume={415}, issn={0167-2789}, journal={Physica D: Nonlinear Phenomena}, author={Bianchi, Luigi Amedeo and Blömker, Dirk}, note={Article Number: 132742} }
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