Geodesic
Quasi-periodic motions on symplectic tori
Journal of Singularities, Tome 26 (2023), pp. 23-62

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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. 
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     author = {Mauricio Garay and Arezki Kessi and Duco van Straten, and Nesrine Yousfi},
     title = {Quasi-periodic motions on symplectic tori},
     journal = {Journal of Singularities},
     pages = {23--62},
     publisher = {mathdoc},
     volume = {26},
     year = {2023},
     doi = {10.5427/jsing.2023.26c},
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Mauricio Garay; Arezki Kessi; Duco van Straten,; Nesrine Yousfi. Quasi-periodic motions on symplectic tori. Journal of Singularities, Tome 26 (2023), pp. 23-62. doi: 10.5427/jsing.2023.26c

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