Normal modes in symplectic stratified spaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We 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.
9 pages. Title changed. Exposition improved. One proposition added. References added

Keywords

Symplectic Geometry, Differential Geometry, Dynamical Systems, 58F

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/78597

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9906007
 http://arxiv.org/abs/math/9906007

Collections

arXiv