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dc.contributor.authorAnco, S.C.
dc.contributor.authorBallesteros, Angel
dc.contributor.authorGandarias, María Luz
dc.date.accessioned2018-12-21T17:00:13Z
dc.date.available2018-12-21T17:00:13Z
dc.date.issued2019
dc.identifier.citationPhysics Letters A, to appear (2019)es
dc.identifier.urihttp://uvadoc.uva.es/handle/10324/33629
dc.description.abstractLiouville (super)integrability of a Hamiltonian system of differential equations is based on the existence of globally well-defined constants of the motion, while Lie point symmetries provide a local approach to conserved integrals. Therefore, it seems natural to investigate in which sense Lie point symmetries can be used to provide information concerning the superintegrability of a given Hamiltonian system. The two-dimensional oscillator and the central force problem are used as benchmark examples to show that the relationship between standard Lie point symmetries and superintegrability is neither straightforward nor universal. In general, it turns out that super-integrability is not related to either the size or the structure of the algebra of variational dynamical symmetries. Nevertheless, all of the first integrals for a given Hamiltonian system can be obtained through an extension of the standard point symmetry method, which is applied to a superintegrable nonlinear oscillator describing the motion of a particle on a space with non-constant curvature and spherical symmetry.es
dc.format.mimetypeapplication/pdfes
dc.language.isoenges
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.titleGlobal versus local superintegrability of nonlinear oscillatorses
dc.typeinfo:eu-repo/semantics/articlees
dc.peerreviewedSIes


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