A System of n=3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion

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dc.creatorRañada, Manuel F.
dc.date2005-11-02
dc.date.accessioned2026-07-07T09:34:04Z
dc.date.available2026-07-07T09:34:04Z
dc.descriptionThe properties of a system of n = 3 coupled oscillators with linear terms in the velocities (magnetic terms) depending in two parameters are studied. We proved the existence of a bi-Hamiltonian structure arising from a non-symplectic symmetry, as well the existence of master symmetries and additional integrals of motion (weak superintegrability) for certain particular values of the parameters.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/nlin/0511007
dc.identifierhttp://arxiv.org/abs/nlin/0511007
dc.identifierSIGMA 1 (2005), 004, 7 pages
dc.identifierdoi:10.3842/SIGMA.2005.004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159360
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleA System of n=3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion
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