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The Liouville–Arnold–Nekhoroshev theorem for non-compact invariant manifolds

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Emanuele Fiorani1, Giovanni Giachetta2 and Gennadi Sardanashvily3

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LETTER TO THE EDITOR

Under certain conditions, generalized action–angle coordinates can be introduced near non-compact invariant manifolds of completely and partially integrable Hamiltonian systems.


PACS

02.30.Ik Integrable systems

MSC

70H06 Completely integrable systems and methods of integration

70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction

70H08 Nearly integrable Hamiltonian systems, KAM theory

Subjects

Mathematical physics

Dates

Issue 7 (21 February 2003)

Received 7 November 2002

Published 5 February 2003



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