Periodic orbits of Hamiltonian flows near symplectic extrema

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dc.creatorGinzburg, Viktor L.
dc.creatorKerman, Ely
dc.date2000-11-01
dc.date.accessioned2026-07-07T04:38:25Z
dc.date.available2026-07-07T04:38:25Z
dc.descriptionFor Hamiltonian flows we establish the existence of periodic orbits on a sequence of level sets approaching a Bott-nondegenerate symplectic extremum of the Hamiltonian. As a consequence, we show that a charge on a compact manifold with a nondegenerate (i.e. symplectic) magnetic field has periodic orbits on a sequence of energy levels converging to zero.
dc.description19 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0011011
dc.identifierhttp://arxiv.org/abs/math/0011011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60270
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.subject58F05(primary), 58F22(secondary)
dc.titlePeriodic orbits of Hamiltonian flows near symplectic extrema
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