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arXiv · 2109.10064

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

Frank Trujillo
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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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Frank Trujillo. 2021-09-21. Surviving Lower Dimensional Invariant Tori of a Resonant Torus with any Number of Resonances. https://arxiv.org/abs/2109.10064

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