Hyperbolicity and Stability for Hamiltonian flows

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].

16 pages

References in corpus (2)

• Generic dynamics of 4-dimensional C2 Hamiltonian systems
• On the Stability of the Set of Hyperbolic Closed Orbits of a Hamiltonian