Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems

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dc.creatorPatrick, G. W.
dc.creatorRoberts, R. M.
dc.creatorWulff, C.
dc.date2007-05-10
dc.date2008-01-28
dc.date.accessioned2026-07-07T08:56:19Z
dc.date.available2026-07-07T08:56:19Z
dc.descriptionIn the presence of noncompact symmetry, the stability of relative equilibria under momentum-preserving perturbations does not generally imply robust stability under momentum-changing perturbations. For axisymmetric relative equilibria of Hamiltonian systems with Euclidean symmetry, we investigate different mechanisms of stability: stability by energy-momentum confinement, KAM, and Nekhoroshev stability, and we explain the transitions between these. We apply our results to the Kirchhoff model for the motion of an axisymmetric underwater vehicle, and we numerically study dissipation induced instability of KAM stable relative equilibria for this system.
dc.descriptionMinor revisions. Typographical errors corrected
dc.identifierhttps://arxiv.org/abs/0705.1552
dc.identifierhttp://arxiv.org/abs/0705.1552
dc.identifierNonlinearity 21 325--352 2008
dc.identifierdoi:10.1088/0951-7715/21/2/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146572
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.titleStability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems
dc.typetext

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