Normal modes in symplectic stratified spaces

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dc.creatorLerman, Eugene
dc.date1999-06-01
dc.date1999-06-18
dc.date.accessioned2026-07-07T05:29:20Z
dc.date.available2026-07-07T05:29:20Z
dc.descriptionWe generalize the Weinstein-Moser theorem on the existence of nonlinear normal modes (i.e., periodic orbits) near an equilibrium in a Hamiltonian system to a theorem on the existence of relative periodic orbits near a relative equilibrium in a Hamiltonian system with continuous symmetries. More specifically we significantly improve a result proved earlier jointly with Tokieda (math.SG/9901102): we remove a technical hypothesis which amounted to an assumption that the symmetry group is a torus.
dc.description9 pages. Title changed. Exposition improved. One proposition added. References added
dc.identifierhttps://arxiv.org/abs/math/9906007
dc.identifierhttp://arxiv.org/abs/math/9906007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78597
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject58F
dc.titleNormal modes in symplectic stratified spaces
dc.typetext

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