Stability by KAM confinement of certain wild, nongeneric relative equilibria of underwater vehicles with coincident centers of mass and bouyancy

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dc.creatorPatrick, George W.
dc.date2002-04-02
dc.date.accessioned2026-07-07T04:47:24Z
dc.date.available2026-07-07T04:47:24Z
dc.descriptionPurely rotational relative equilibria of an ellipsoidal underwater vehicle occur at nongeneric momentum where the symplectic reduced spaces change dimension. The stability these relative equilibria under momentum changing perturbations is not accessible by Lyapunov functions obtained from energy and momentum. A blow-up construction transforms the stability problem to the analysis symmetry-breaking perturbations of Hamiltonian relative equilibria. As such, the stability follows by KAM theory rather than energy-momentum confinement.
dc.description18 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0204028
dc.identifierhttp://arxiv.org/abs/math/0204028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63698
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleStability by KAM confinement of certain wild, nongeneric relative equilibria of underwater vehicles with coincident centers of mass and bouyancy
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