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Continuous changes of variables and the Magnus expansion
dc.contributor.author | Casas, Fernando | |
dc.contributor.author | Chartier, Philippe | |
dc.contributor.author | Murua, Ander | |
dc.date.accessioned | 2019-11-13T08:23:57Z | |
dc.date.available | 2019-11-13T08:23:57Z | |
dc.date.issued | 2019-09-23 | |
dc.identifier.citation | CASAS, Fernando; CHARTIER, Philippe; MURUA, Ander. Continuous changes of variables and the Magnus expansion. Journal of Physics Communications, 2019, 3.9: 095014. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/184902 | |
dc.description.abstract | In 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 Schrödinger equation on the torus. | ca_CA |
dc.format.extent | 15 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | IOP | ca_CA |
dc.rights | © 2019 The Author(s). Published by IOP Publishing Ltd. | ca_CA |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-sa/4.0/ | * |
dc.subject | magnus expansion | ca_CA |
dc.subject | continuous changes of variables | ca_CA |
dc.subject | averaging | ca_CA |
dc.title | Continuous changes of variables and the Magnus expansion | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1088/2399-6528/ab42c1 | |
dc.relation.projectID | Ministerio de Economía y Competitividad, Spain (project MTM2016-77660-P (AEI/FEDER, UE) ; Basque Government (consolidated group IT1294-19) | ca_CA |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | https://iopscience.iop.org/article/10.1088/2399-6528/ab42c1/meta | ca_CA |
dc.contributor.funder | INRIA ; University of the Basque Country | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
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