A Liouville’s Formula for Systems with Reflection
| dc.contributor.affiliation | Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización | gl |
| dc.contributor.author | Codesido, Santiago | |
| dc.contributor.author | Fernández Tojo, Fernando Adrián | |
| dc.date.accessioned | 2021-08-13T12:01:54Z | |
| dc.date.available | 2021-08-13T12:01:54Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this work, we derived an Abel–Jacobi–Liouville identity for the case of two-dimensional linear systems of ODEs (ordinary differential equations) with reflection. We also present a conjecture for the general case and an application to coupled harmonic oscillators | gl |
| dc.description.peerreviewed | SI | gl |
| dc.description.sponsorship | F. Adrián F. Tojo was partially supported by Xunta de Galicia, project ED431C 2019/02, and by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDER | gl |
| dc.identifier.citation | Mathematics 2021, 9(8), 866; https://doi.org/10.3390/math9080866 | gl |
| dc.identifier.doi | 10.3390/math9080866 | |
| dc.identifier.essn | 2227-7390 | |
| dc.identifier.uri | http://hdl.handle.net/10347/26806 | |
| dc.language.iso | eng | gl |
| dc.publisher | MDPI | gl |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES | gl |
| dc.relation.publisherversion | https://doi.org/10.3390/math9080866 | gl |
| dc.rights | © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/) | gl |
| dc.rights | Atribución 4.0 Internacional | |
| dc.rights.accessRights | open access | gl |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | ODEs (ordinary differential equations) | gl |
| dc.subject | Reflection | gl |
| dc.subject | Linear systems | gl |
| dc.subject | Liouville’s formula | gl |
| dc.title | A Liouville’s Formula for Systems with Reflection | gl |
| dc.type | journal article | gl |
| dc.type.hasVersion | VoR | gl |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 7d79f16f-87c6-4898-b9eb-1fed52f1819a | |
| relation.isAuthorOfPublication.latestForDiscovery | 7d79f16f-87c6-4898-b9eb-1fed52f1819a |
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