dc.creator | Yang, Shuang | es |
dc.creator | Li, Yangrong | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.date.accessioned | 2023-02-27T12:32:24Z | |
dc.date.available | 2023-02-27T12:32:24Z | |
dc.date.issued | 2022-09-11 | |
dc.identifier.citation | Yang, S., Li, Y. y Caraballo Garrido, T. (2022). Dynamical stability of random delayed FitzHugh-Nagumo lattice systems driven by nonlinear Wong-Zakai noise. Journal of Mathematical Physics, 63, 111512-1. https://doi.org/10.1063/5.0125383. | |
dc.identifier.issn | 0022-2488 | es |
dc.identifier.issn | 1089-7658 | es |
dc.identifier.uri | https://hdl.handle.net/11441/143019 | |
dc.description.abstract | In this paper, two problems related to FitzHugh-Nagumo lattice systems are analyzed. The first one is
concerned with the asymptotic behavior of random delayed FitzHugh-Nagumo lattice systems driven
by nonlinear Wong-Zakai noise. We obtain a new result ensuring that such a system approximates
the corresponding deterministic system when the correlation time of Wong-Zakai noise goes to infinity rather than to zero. We first prove the existence of tempered random attractors for the random
delayed lattice systems with a nonlinear drift function and a nonlinear diffusion term. The pullback
asymptotic compactness of solutions is proved thanks to the Ascoli-Arzel`a theorem and uniform tailestimates. We then show that the upper semi-continuous of attractors as the correlation time tends
to infinity. As for the second problem, we consider the corresponding deterministic version of the
previous model, and study the convergence of attractors when the delay approaches zero. Namely, the
upper semicontinuity of attractors for the delayed system to the non-delayed one is proved. | es |
dc.format | application/pdf | es |
dc.format.extent | 36 p. | es |
dc.language.iso | eng | es |
dc.publisher | AIP Publishing | es |
dc.relation.ispartof | Journal of Mathematical Physics, 63, 111512-1. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Random delay lattice system | es |
dc.subject | FitzHugh-Nagumo system | es |
dc.subject | Nonlinear Wong-Zakai noise | es |
dc.subject | Pullback random attractor | es |
dc.subject | Upper semicontinuity | es |
dc.title | Dynamical stability of random delayed FitzHugh-Nagumo lattice systems driven by nonlinear Wong-Zakai noise | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | https://doi.org/10.1063/5.0125383 | es |
dc.identifier.doi | 10.1063/5.0125383 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.journaltitle | Journal of Mathematical Physics | es |
dc.publication.volumen | 63 | es |
dc.publication.initialPage | 111512-1 | es |