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arXiv · 1204.1161

Hyperbolicity and Stability for Hamiltonian flows

M. Bessa·M. J. Torres·J. Rocha
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Abstract

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].

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M. Bessa, M. J. Torres, J. Rocha. 2012-04-05. Hyperbolicity and Stability for Hamiltonian flows. https://arxiv.org/abs/1204.1161

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