Integrability, hyperbolic flows and the Birkhoff normal form

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dc.creatorRouleux, M.
dc.date2002-07-02
dc.date.accessioned2026-07-07T04:49:30Z
dc.date.available2026-07-07T04:49:30Z
dc.descriptionWe prove that a Hamiltonian $p\in C^\infty(T^*{\bf R}^n)$ is locally integrable near a non-degenerate critical point $ρ_0$ of the energy, provided that the fundamental matrix at $ρ_0$ has no purely imaginary eigenvalues. This is done by using Birkhoff normal forms, which turn out to be convergent in the $C^\infty$ sense. We also give versions of the Lewis-Sternberg normal form near a hyperbolic fixed point of a canonical transformation. Then we investigate the almost holomorphic case.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0207026
dc.identifierhttp://arxiv.org/abs/math/0207026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64447
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.titleIntegrability, hyperbolic flows and the Birkhoff normal form
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