Mathematical Research Letters

Volume 24 (2017)

Number 1

Some instability properties of resonant invariant tori in Hamiltonian systems

Pages: 21 – 35

DOI: http://dx.doi.org/10.4310/MRL.2017.v24.n1.a2

Author

Abed Bounemoura (Université Paris Dauphine, CEREMADE, Paris, France)

Abstract

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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Paper received on 4 January 2015.