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Some instability properties of resonant invariant tori in Hamiltonian systems

Bounemoura, Abed (2017), Some instability properties of resonant invariant tori in Hamiltonian systems, Mathematical Research Letters, 24, 1, p. 21-35. 10.4310/MRL.2017.v24.n1.a2

Type
Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-01099644/
Date
2017
Journal name
Mathematical Research Letters
Volume
24
Number
1
Publisher
International Press
Pages
21-35
Publication identifier
Metadata
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Author(s)
Bounemoura, Abed
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
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.
Subjects / Keywords
Hamultonian systems; Torus