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2004 | OriginalPaper | Buchkapitel

Some Special Topics in KAM Theory

verfasst von : Giovanni Gallavotti, Federico Bonetto, Guido Gentile

Erschienen in: Aspects of Ergodic, Qualitative and Statistical Theory of Motion

Verlag: Springer Berlin Heidelberg

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In Chap. 8 the proof of the KAM theorem was based on diagrams and notions that became visually clear if the diagrammatic interpretation of the various terms building the Lindstedt series was kept in mind The analogy with the diagrams used in perturbation theory in quantum field theory and in statistical mechanics is, we feel, quite striking. Therefore one can wonder whether one could go ahead and apply other techniques widely employed in those fields.

Metadaten
Titel
Some Special Topics in KAM Theory
verfasst von
Giovanni Gallavotti
Federico Bonetto
Guido Gentile
Copyright-Jahr
2004
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-05853-4_9