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Artículo
The effect of noise on the chafee-infante equation: a nonlinear case study
dc.creator | Caraballo Garrido, Tomás | |
dc.creator | Crauel, Hans | |
dc.creator | Langa Rosado, José Antonio | |
dc.creator | Robinson, James C. | |
dc.date.accessioned | 2015-02-26T13:11:43Z | |
dc.date.available | 2015-02-26T13:11:43Z | |
dc.date.issued | 2006 | |
dc.identifier.issn | 0002-9939 | es |
dc.identifier.uri | http://hdl.handle.net/11441/22772 | |
dc.description.abstract | We investigate the effect of perturbing the Chafee-Infante scalar reaction diffusion equation, ut−Δu = βu−u3, by noise. While a single multiplicative Itˆo noise of sufficient intensity will stabilise the origin, its Stratonovich counterpart leaves the dimension of the attractor essentially unchanged. We then show that a collection of multiplicative Stratonovich terms can make the origin exponentially stable, while an additive noise of sufficient richness reduces the random attractor to a single point. | |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 135(2), 373–382 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Chafee-Infante equation | |
dc.subject | Stochastic stabilisation | en |
dc.subject | Random attractor | en |
dc.subject | Random equilibrium | en |
dc.subject | One-point attractor | en |
dc.subject | Attractor collapse | en |
dc.title | The effect of noise on the chafee-infante equation: a nonlinear case study | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.identifier.doi | 10.2307/20534585 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/22772 |
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