Mould Calculus for Hamiltonian Vector Fields

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dc.creatorCresson, Jacky
dc.creatorMorin, Guillaume
dc.date2008-01-18
dc.date.accessioned2026-07-07T08:55:23Z
dc.date.available2026-07-07T08:55:23Z
dc.descriptionWe present the general framework of Écalle's moulds in the case of linearization of a formal vector field without and within resonances. We enlighten the power of moulds by their universality, and calculability. We modify then Écalle's technique to fit in the seek of a formal normal form of a Hamiltonian vector field in cartesian coordinates. We prove that mould calculus can also produce successive canonical transformations to bring a Hamiltonian vector field into a normal form. We then prove a Kolmogorov theorem on Hamiltonian vector fields near a diophantine torus in action-angle coordinates using moulds techniques.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0801.2953
dc.identifierhttp://arxiv.org/abs/0801.2953
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146253
dc.subjectDynamical Systems
dc.subject37G05, 37J40, 17B40, 17A50, 17B66,17B70
dc.titleMould Calculus for Hamiltonian Vector Fields
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