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• W2129159117 abstract "In this article, we present a new approach of Nekhoroshev’s theory for a generic unperturbed Hamiltonian which completely avoids small divisors problems. The proof is an extension of a method introduced by P. Lochak, it combines averaging along periodic orbits with simultaneous Diophantine approximation and uses geometric arguments designed by the second author to handle generic integrable Hamiltonians. This method allows to deal with generic non-analytic Hamiltonians and to obtain new results of generic stability around linearly stable tori." @default.
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• W2129159117 date "2012-01-01" @default.
• W2129159117 modified "2023-10-16" @default.
• W2129159117 title "Generic Nekhoroshev theory without small divisors" @default.
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• W2129159117 doi "https://doi.org/10.5802/aif.2706" @default.
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