Hyperbolicity and Stability for Hamiltonian flows
classification
🧮 math.DS
keywords
hamiltonianstabilityanosovconjectureconsequenced-dimensionaldefineddimensional
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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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