Perturbation Theory for Classical Hamiltonian Systems
In Scaling and Self-Similarity, Ed. J. Fr\"ohlich, Birkhauser, 1983,
AbstractThe 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).
Keywords KAM, Renormalization Group, Quasi periodicity