We provide the direct proof of the Nekhoroshev theorem on the stability of nearly integrable analytic symplectic maps. Specifically, we prove the stability of the actions for a number of iterations which grows exponentially with an inverse power of the norm of the perturbation by conjugating the generating function of the map to suitable normal forms with exponentially small remainder.

A direct proof of the Nekhoroshev theorem for nearly integrable symplectic maps

GUZZO, MASSIMILIANO
2004

Abstract

We provide the direct proof of the Nekhoroshev theorem on the stability of nearly integrable analytic symplectic maps. Specifically, we prove the stability of the actions for a number of iterations which grows exponentially with an inverse power of the norm of the perturbation by conjugating the generating function of the map to suitable normal forms with exponentially small remainder.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2451714
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