Hyperbolicity and Stability for Hamiltonian flows

Details Hyperbolicity and Stability for Hamiltonian flows Hyperbolicity and Stability for Hamiltonian flows

2012-04-05

arxiv.org/abs/1204.1161v1

Mathematics

Dynamical Systems

16 pages

Scientific paper

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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