A lecture on the classical KAM theorem

By Jurgen Poschel. 2009

258 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/280a55d197e017236493ddf752b085fae728d7c3

How researchers see this paper

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In Artificial Intelligence

1. Inês Aniceto
2. Gokcce Bacsar
3. R. Schiappa

In Statistics and Probability

1. Inês Aniceto
2. R. Schiappa

Citations in the corpus

• A primer on resurgent transseries and their asymptotics (2018, background): “This fascinating story is developed at length within the setting of KAM theory, to which we refer the reader to [138, 204] and references therein—the goal of this paragraph was simply to point out how there are countless interesting links between the theory of resurgence and that of dynamical system”