On persistence of invariant tori and a theorem by Nekhoroshev

Details On persistence of invariant tori and a theorem by Nekhoroshev On persistence of invariant tori and a theorem by Nekhoroshev

2001-11-15

arxiv.org/abs/math-ph/0111027v2

Math. Phyl. El. J. 8 (2002), 1-13

Physics

Mathematical Physics

13 pages, no figures

Scientific paper

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 $1 \le s \le n$. 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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