Quasi-periodic motions on symplectic tori
Mauricio Garay, Arezki Kessi, Duco van Straten, and Nesrine Yousfi
Journal of Singularities
volume 26 (2023), 23-62
Received: 7 June 2021. Received in revised form: 10 July 2023.
Abstract:
The results of Kolmogorov, Arnold, and Moser on the stability of quasi-periodic motions spanning lagrangian tori in Hamiltonian systems are of fundamental importance and led to the development of KAM theory. Over the years, many variations of these results on quasi-periodic motions have been considered. In this paper, we present a more conceptual way of attacking such problems by considering the particular case of quasi-periodic motions on symplectic tori.
Author(s) information:
Mauricio Garay
Institut Fibonacci
1 avenue Pierre Grenier
92100 Boulogne, France
Arezki Kessi
University of Sciences and Technology Houari Boumediene
Dynamical Systems Laboratory
Analysis Department, Faculty of Mathematics
Bp 32 Bab Ezzouar, 16111, Algeria
Duco van Straten
Institut für Mathematik
FB 08 - Physik, Mathematik und Informatik
Johannes Gutenberg-Universität
Staudingerweg 9, 4. OG
55128 Mainz, Germany
Nesrine Yousfi
University of Sciences and Technology Houari Boumediene
Dynamical Systems Laboratory
Analysis Department, Faculty of Mathematics
Bp 32 Bab Ezzouar, 16111, Algeria
email: yousfi.nesrine@gmail.com