Mathematical Research Letters
Volume 24 (2017)
Some instability properties of resonant invariant tori in Hamiltonian systems
Pages: 21 – 35
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.
Paper received on 4 January 2015.