Some tastings in Morales-Ramis theory

dc.contributor.authorAcosta Humánez, P.
dc.contributor.authorJiménez, G.
dc.date.accessioned2019-12-17T20:05:44Z
dc.date.available2019-12-17T20:05:44Z
dc.date.issued2019
dc.description.abstractIn this paper we present a short material concerning to some results in Morales-Ramis theory, which relates two different notions of integrability: Integrability of Hamiltonian systems through Liouville Arnold theorem and integrability of linear differential equations through differential Galois theory. As contribution, we obtain the abelian differential Galois group of the variational equation related to a bi-parametric Hamiltonian system.eng
dc.identifier.issn17426588
dc.identifier.urihttps://hdl.handle.net/20.500.12442/4487
dc.language.isoengeng
dc.publisherIOP Publishingeng
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacionaleng
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesseng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceJournal of Physics: Conference Serieseng
dc.sourceVol. 1414 No. 1 (2019). 5th International Week of Science, Technology & Innovationeng
dc.source.uri10.1088/1742-6596/1414/1/012011
dc.titleSome tastings in Morales-Ramis theoryeng
dc.typearticleeng
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dcterms.referencesAcosta-Humánez P, Lázaro Ochoa J, Morales-Ruiz J, and Pantazi C 2015 On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory Discrete and Continuous Dynamical Systems- A 35(5) 1767eng
dcterms.referencesAcosta-Humánez P 2010 Galoisian approach to supersymmetric quantum mechanics: The integrability analysis the Schrödinger equation by means of differential Galois theory (Saarbrucken: VDM Publishing)eng
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