This article is cited in 1 paper

An abstract KAM theorem

Mauricio Garay

Institut für Mathematik, Fachbereich 08, Johannes Gutenberg University, Staudingerweg 9, 55218 Mainz, Germany

Abstract: According to Moser, the study of normal forms in dynamical systems should be expressed in terms of infinite dimensional group actions. I present a functional analytic setting and an abstract version of the KAM theorem as a new starting point to develop this program.

Key words and phrases: KAM theory, perturbation theory, Herman conjecture.

MSC: 37K55

Received: April 10, 2013; in revised form March 31, 2014

Language: English

DOI: 10.17323/1609-4514-2014-14-4-745-772

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