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Probabilistic analysis of random nonlinear oscillators subject to small perturbations via probability density functions: Theory and computing

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Probabilistic analysis of random nonlinear oscillators subject to small perturbations via probability density functions: Theory and computing

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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 2022-02-03T19:04:37Z
dc.date.available 2022-02-03T19:04:37Z
dc.date.issued 2021-07-06 es_ES
dc.identifier.uri http://hdl.handle.net/10251/180468
dc.description.abstract [EN] We study a class of single-degree-of-freedom oscillators whose restoring function is affected by small nonlinearities and excited by stationary Gaussian stochastic processes. We obtain, via the stochastic perturbation technique, approximations of the main statistics of the steady state, which is a random variable, including the first moments, and the correlation and power spectral functions. Additionally, we combine this key information with the principle of maximum entropy to construct approximations of the probability density function of the steady state. We include two numerical examples where the advantages and limitations of the stochastic perturbation method are discussed with regard to certain general properties that must be preserved es_ES
dc.description.sponsorship This work has been supported by the Spanish Ministerio de Economia, Industria y Competitividad (MINECO), the Agencia Estatal de Investigacion (AEI), and Fondo Europeo de Desarrollo Regional (FEDER UE) Grant PID2020-115270GB-I00. The authors express their deepest thanks and respect to the reviewers for their valuable comments es_ES
dc.language Inglés es_ES
dc.publisher Springer es_ES
dc.relation.ispartof European Physical Journal Plus es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Probabilistic analysis of random nonlinear oscillators subject to small perturbations via probability density functions: Theory and computing es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1140/epjp/s13360-021-01672-w es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-115270GB-I00/ES/ECUACIONES DIFERENCIALES ALEATORIAS. CUANTIFICACION DE LA INCERTIDUMBRE Y APLICACIONES/ 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). Probabilistic analysis of random nonlinear oscillators subject to small perturbations via probability density functions: Theory and computing. European Physical Journal Plus. 136(7):1-23. https://doi.org/10.1140/epjp/s13360-021-01672-w es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1140/epjp/s13360-021-01672-w es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 23 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 136 es_ES
dc.description.issue 7 es_ES
dc.identifier.eissn 2190-5444 es_ES
dc.relation.pasarela S\439885 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder European Regional Development Fund es_ES
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