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Continuous changes of variables and the Magnus expansion

dc.contributor.authorCasas Pérez, Fernando
dc.contributor.authorChartier, Philippe
dc.contributor.authorMurua Uria, Ander ORCID
dc.date.accessioned2019-12-30T10:03:53Z
dc.date.available2019-12-30T10:03:53Z
dc.date.issued2019-09-23
dc.identifier.citationJournal of Physics Communications 3(9) : (2019) // Article ID UNSP 095014es_ES
dc.identifier.issn2399-6528
dc.identifier.urihttp://hdl.handle.net/10810/37410
dc.description.abstractIn this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for general nonlinear differential equations. To this aim, we introduce suitable continuous variable transformations generated by operators. As an application of the simple formulas so-obtained, we explicitly compute the first terms of the Floquet-Magnus expansion for the Van der Pol oscillator and the nonlinear Schrodinger equation on the torus.es_ES
dc.description.sponsorshipThe work of FC and AM has been supported by Ministerio de Economia y Competitividad (Spain) through project MTM2016-77660-P (AEI/FEDER, UE). AMis also supported by the consolidated group .IT1294-19 of the Basque Government. PC acknowledges funding by INRIA through its Sabbatical program and thanks the University of the Basque Country for its hospitality.es_ES
dc.language.isoenges_ES
dc.publisherIOPes_ES
dc.relationinfo:eu-repo/grantAgreement/MINECO/MTM2016-77660-Pes_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectmagnus expansiones_ES
dc.subjectcontinuous changes of variableses_ES
dc.subjectaveraginges_ES
dc.subjecthausdorff-dynkin formulaes_ES
dc.subjectdifferential-equationses_ES
dc.subjectperturbation-theoryes_ES
dc.subjectconvergencees_ES
dc.titleContinuous changes of variables and the Magnus expansiones_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.holderOriginal content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Attribution 3.0 Unported (CC BY 3.0). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.es_ES
dc.rights.holderAtribución 3.0 España*
dc.relation.publisherversionhttps://iopscience.iop.org/article/10.1088/2399-6528/ab42c1es_ES
dc.identifier.doi10.1088/2399-6528/ab42c1
dc.departamentoesCiencia de la computación e inteligencia artificiales_ES
dc.departamentoeuKonputazio zientziak eta adimen artifizialaes_ES


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Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Attribution 3.0 Unported (CC BY 3.0). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Except where otherwise noted, this item's license is described as Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Attribution 3.0 Unported (CC BY 3.0). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.