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dc.contributor.author | Cortés, J.-C. | es_ES |
dc.contributor.author | López-Navarro, Elena | es_ES |
dc.contributor.author | Romero, José-Vicente | es_ES |
dc.contributor.author | Roselló, María-Dolores | es_ES |
dc.date.accessioned | 2022-01-07T19:26:19Z | |
dc.date.available | 2022-01-07T19:26:19Z | |
dc.date.issued | 2021-01-20 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/179386 | |
dc.description.abstract | [EN] We combine the stochastic perturbation method with the maximum entropy principle to construct approximations of the first probability density function of the steady-state solution of a class of nonlinear oscillators subject to small perturbations in the nonlinear term and driven by a stochastic excitation. The nonlinearity depends both upon position and velocity, and the excitation is given by a stationary Gaussian stochastic process with certain additional properties. Furthermore, we approximate higher-order moments, the variance, and the correlation functions of the solution. The theoretical findings are illustrated via some numerical experiments that confirm that our approximations are reliable. | es_ES |
dc.description.sponsorship | This work has been supported by the Spanish Ministerio de Economía, Industria y Competitividad (MINECO), the Agencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo Regional (FEDER UE) grant MTM2017¿89664¿P. Elena López-Navarro has been supported by the European Union through the Operational Program of the [European Regional Development Fund (ERDF)/European Social Fund (ESF)] of the Valencian Community 2014-2020 (GJIDI/2018/A/010) | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | MDPI AG | es_ES |
dc.relation.ispartof | Mathematics | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | Stochastic perturbations | es_ES |
dc.subject | Random nonlinear oscillator | es_ES |
dc.subject | Maximum entropy principle | es_ES |
dc.subject | Probability density function | es_ES |
dc.subject | Stationary Gaussian noise | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Approximating the Density of Random Differential Equations with Weak Nonlinearities via Perturbation Techniques | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.3390/math9030204 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-89664-P/ES/PROBLEMAS DINAMICOS CON INCERTIDUMBRE SIMULABLE: MODELIZACION MATEMATICA, ANALISIS, COMPUTACION Y APLICACIONES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/EDUC.INVEST.CULT.DEP//GJIDI%2F2018%2FA%2F010//AYUDA GARANTIA JUVENIL GVA: PERSONAL TECNICO-GESTOR EN MODELIZACION MATEMATICA/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Cortés, J.; López-Navarro, E.; Romero, J.; Roselló, M. (2021). Approximating the Density of Random Differential Equations with Weak Nonlinearities via Perturbation Techniques. Mathematics. 9(3):1-17. https://doi.org/10.3390/math9030204 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.3390/math9030204 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 17 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 9 | es_ES |
dc.description.issue | 3 | es_ES |
dc.identifier.eissn | 2227-7390 | es_ES |
dc.relation.pasarela | S\425983 | es_ES |
dc.contributor.funder | GENERALITAT VALENCIANA | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |