A lecture on the classical KAM theorem

Details A lecture on the classical KAM theorem A lecture on the classical KAM theorem

2009-08-16

arxiv.org/abs/0908.2234v1

Proceedings of Symposia in Pure Mathematics 69, 2001, 707--732

Mathematics

Dynamical Systems

33 pages. Small corrections and updated references

Scientific paper

The purpose of this lecture is to describe the KAM theorem in its most basic
form and to give a complete and detailed proof.
This proof essentially follows the traditional lines laid out by the
inventors of this theory, and the emphasis is more on the underlying ideas than
on the sharpness of the arguments.

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