Jumping oscillator

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dc.creatorPugliese, F.
dc.creatorVinogradov, A.
dc.date1999-02-19
dc.date.accessioned2026-07-07T05:27:58Z
dc.date.available2026-07-07T05:27:58Z
dc.descriptionIt is shown that a lagrangian system whose Legendre transformation degenerates along a hypersurface behaves in a strange manner by jumping from time to time without any ''visible cause''. In such a jump the system changes instantaneously its coordinates as well as its momenta. The mathematical dscription of the phenomenon is based on the theory of impact, refraction and reflection developed by one of the authors and the observation that a hamiltonian vector field, understood as a relative one, can be associated with any lagrangian, degenerated or not. Necessary elements of the general theory of such systems are reported and a detailed description of a post-relativistic oscillator showing such a behaviour is given.
dc.descriptionLatex-2e (Ams-Latex 1.2), 27 pages, 11 figures; see also http://ecfor.rssi.ru/~diffiety/preprints/98/11_98abs.htm or http://ecfor.rssi.ru/~diffiety/preprint/98/11_98abs.htm
dc.identifierhttps://arxiv.org/abs/math/9902115
dc.identifierhttp://arxiv.org/abs/math/9902115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78129
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.titleJumping oscillator
dc.typetext

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