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Vibrational resonance: a study with high-order word-series averaging

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.contributor.authorMurua, A.
dc.contributor.authorSanz Serna, Jesús María
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2023-11-29T09:35:08Z
dc.date.available2023-11-29T09:35:08Z
dc.date.issued2016-01
dc.description.abstractWe study a model problem describing vibrational resonance by means of a high-order averaging technique based on so-called word series. With the technique applied here, the tasks of constructing the averaged system and the associated change of variables are divided into two parts. It is first necessary to build recursively a set of so-called word basis functions and, after that, all the required manipulations involve only scalar coefficients that are computed by means of simple recursions. As distinct from the situation with other approaches, with word-series, high-order averaged systems may be derived without having to compute the associated change of variables. In the system considered here, the construction of high-order averaged systems makes it possible to obtain very precise approximations to the true dynamics.en
dc.description.sponsorshipWe are thankful to M. A. F. Sanjuán for bringing this problem to our attention andcarefully reading the manuscript. A. Murua and J.M. Sanz-Serna have been supported by projects MTM2013-46553-C3-2-P and MTM2013-46553-C3-1-P from Ministerio de Economía y Comercio, Spain. Additionally A.Murua has been partially supported by the Basque Government (Consolidated Research Group IT649-13).en
dc.format.extent8
dc.identifier.bibliographicCitationMurua, A., & Sanz‐Serna, J. M. (2016). Vibrational Resonance: a study with high-order word-series averaging. Applied Mathematics and Nonlinear Sciences, 1(1), 239-246.en
dc.identifier.doihttps://doi.org/10.21042/AMNS.2016.1.00018
dc.identifier.issn2444-8656
dc.identifier.publicationfirstpage239
dc.identifier.publicationissue1
dc.identifier.publicationlastpage246
dc.identifier.publicationtitleApplied Mathematics and Nonlinear Sciencesen
dc.identifier.publicationvolume1
dc.identifier.urihttps://hdl.handle.net/10016/38989
dc.identifier.uxxiAR/0000020039
dc.language.isoengen
dc.publisherSciendoen
dc.relation.projectIDGobierno de España. MTM2013-46553-C3-2-Pes
dc.relation.projectIDGobierno de España. MTM2013-46553-C3-1-Pes
dc.rights© 2016 A. Murua, J.M. Sanz-Serna, published by Sciendo.en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaFísicaes
dc.subject.ecienciaMatemáticases
dc.subject.otherHigh-order averagingen
dc.subject.otherVibrational resonanceen
dc.subject.otherFormal seriesen
dc.titleVibrational resonance: a study with high-order word-series averagingen
dc.typeresearch article*
dspace.entity.typePublication
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