A Liouville’s Formula for Systems with Reflection

dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorCodesido, Santiago
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.date.accessioned2021-08-13T12:01:54Z
dc.date.available2021-08-13T12:01:54Z
dc.date.issued2021
dc.description.abstractIn 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 oscillatorsgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipF. 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 FEDERgl
dc.identifier.citationMathematics 2021, 9(8), 866; https://doi.org/10.3390/math9080866gl
dc.identifier.doi10.3390/math9080866
dc.identifier.essn2227-7390
dc.identifier.urihttp://hdl.handle.net/10347/26806
dc.language.isoenggl
dc.publisherMDPIgl
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ESgl
dc.relation.publisherversionhttps://doi.org/10.3390/math9080866gl
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.rightsAtribución 4.0 Internacional
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectODEs (ordinary differential equations)gl
dc.subjectReflectiongl
dc.subjectLinear systemsgl
dc.subjectLiouville’s formulagl
dc.titleA Liouville’s Formula for Systems with Reflectiongl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication7d79f16f-87c6-4898-b9eb-1fed52f1819a
relation.isAuthorOfPublication.latestForDiscovery7d79f16f-87c6-4898-b9eb-1fed52f1819a

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