On persistence of invariant tori and a theorem by Nekhoroshev
Abstract
We give a proof of a theorem by N.N. Nekhoroshev concerning Hamiltonian systems with n degrees of freedom and s integrals of motion in involution, where 1 s n. Such a theorem ensures persistence of s-dimensional invariant tori under suitable nondegeneracy conditions generalizing Poincar\'e's condition on the Floquet multipliers.
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