Hyperbolicity and stability for Hamiltonian flows

Bessa, Mário; Rocha, Jorge; Torres, Maria Joana

http://hdl.handle.net/10400.2/13844

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Authors

Bessa, Mário

Rocha, Jorge

Torres, Maria Joana

Abstract(s)

We prove that a Hamiltonian star system, defined on a 2d-dimen- sional symplectic manifold M (d 􏱃 2), is Anosov. As a consequence we obtain the proof of the stability conjecture for Hamiltonians. This generalizes the 4-dimensional results in Bessa et al. (2010) [5].