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Published in:
2004 | OriginalPaper | Chapter
Some Special Topics in KAM Theory
Authors : Giovanni Gallavotti, Federico Bonetto, Guido Gentile
Published in: Aspects of Ergodic, Qualitative and Statistical Theory of Motion
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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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.