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Instability of resonant invariant tori in Hamiltonian systems

In this article, we consider the dynamics in a neighborhood of a quasi-periodic torus which is invariant by a Hamiltonian flow, we discuss several notions of stability and we prove several results of instability when the frequency of the invariant torus is resonant.

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Bibliographic Details
Published in:Mathematical research letters 2017, Vol.24 (1), p.21-35
Main Author: Bounemoura, Abed
Format: Article
Language:English
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Online Access:Get full text
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Summary:In this article, we consider the dynamics in a neighborhood of a quasi-periodic torus which is invariant by a Hamiltonian flow, we discuss several notions of stability and we prove several results of instability when the frequency of the invariant torus is resonant.
ISSN:1073-2780
1945-001X