Surviving Lower Dimensional Invariant Tori of a Resonant Torus with any Number of Resonances

Published 21 Sep 2021 in math.DS | (2109.10064v1)

Abstract: We provide sufficient conditions on integrable analytic Hamiltonians that guarantee the existence, under arbitrary sufficiently small analytic perturbations, of invariant lower dimensional tori associated to an invariant resonant torus of the unperturbed Hamiltonian.

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Authors (1)

Frank Trujillo

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