Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Gallavotti, G., Bonetto, F., Gentile, G. (2004). Some Special Topics in KAM Theory. In: Aspects of Ergodic, Qualitative and Statistical Theory of Motion. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05853-4_9
Download citation
DOI: https://doi.org/10.1007/978-3-662-05853-4_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07416-5
Online ISBN: 978-3-662-05853-4
eBook Packages: Springer Book Archive