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arXiv:1204.1161 [math.DS]AbstractReferencesReviewsResources

Hyperbolicity and Stability for Hamiltonian flows

M. Bessa, M. J. Torres, J. Rocha

Published 2012-04-05Version 1

We prove that a Hamiltonian star system, defined on a 2d-dimensional symplectic manifold M, is Anosov. As a consequence we obtain the proof of the stability conjecture for Hamiltonians. This generalizes the 4-dimensional results in [6].

Comments: 16 pages
Journal: Journal of Differential Equations, vol 254, 1, 309-322, 2013
Categories: math.DS
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