Abstract
the relation between the Kolmogorov-Arnold-Moser theory of the non resonant motions in nearly integrable Hamiltonian systems and the renormalization group methods is pointed out. It is followed by a very detailed proof of a version of the KAM theorem based on dimensional estimates (in which no attention is paid to obtaining best constants).
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References
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Gallavotti, G. (1983). Perturbation Theory for Classical Hamiltonian Systems. In: Fröhlich, J. (eds) Scaling and Self-Similarity in Physics. Progress in Physics, vol 7. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6762-6_12
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DOI: https://doi.org/10.1007/978-1-4899-6762-6_12
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