Moscow Mathematical Journal

Volume 14, Issue 4, October–December 2014 pp. 745–772.

An Abstract KAM Theorem

Authors: Mauricio Garay
Author institution:On leave from Institut für Mathematik, Fachbereich 08, Johannes Gutenberg University, Staudingerweg 9, 55218 Mainz, Germany

Summary:

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.

2010 Mathematics Subject Classification. 37K55

Keywords: KAM theory, perturbation theory, Herman conjecture

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