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

dc.contributor.author	Rañada, M.F.
dc.date.accessioned	2025-11-19T12:31:03Z
dc.date.issued	2005
dc.description.abstract	The properties of a system of n = 3 coupled oscillators with linear terms in the velocities (magnetic terms) depending on two parameters are studied. We proved the existence of a bi-Hamiltonian structure arising from a non-symplectic symmetry, as well as the existence of master symmetries and additional integrals of motion (weak superintegrability) for certain particular values of the parameters.
dc.description.sponsorship	Support of projects BFM-2003-02532 and FPA-2003-02948 is acknowledged.
dc.identifier.citation	A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion / M.F. Rañada // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 23 назв. — англ.
dc.identifier.doi	https://doi.org/10.3842/SIGMA.2005.004
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 37J15; 70H06; 70H33
dc.identifier.uri	https://nasplib.isofts.kiev.ua/handle/123456789/209356
dc.language.iso	en
dc.publisher	Інститут математики НАН України
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.status	published earlier
dc.title	A System of n = 3 Coupled Oscillators with Magnetic Terms: Symmetries and Integrals of Motion
dc.type	Article

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