2015/01/05 by Abed Bounemoura, Bounemoura, Abed
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1501.00759
openalex publication_date 2015/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.