Register to reply

KAM theory

by Andrea85
Tags: theory
Share this thread:
Andrea85
#1
Oct14-09, 06:03 PM
P: 2
Hi all, I've read the last capters of Arnold's "mathematical methods of classic mechanics" (so I know the basic facts about differential and symplectic manifolds and the Liouville-Arnold theorem) but this didn't give me enough background to go through KAM theorem: I don't know which is a "resonant" torus, I have not clear in which sense periodic orbits are dense on the torus, so I really can't properly understand this theorem. What should I read further? Which are the best books providing the necessary background to master KAM theory?
Phys.Org News Partner Science news on Phys.org
NASA team lays plans to observe new worlds
IHEP in China has ambitions for Higgs factory
Spinach could lead to alternative energy more powerful than Popeye

Register to reply

Related Discussions
Algorithmic information theory and the existence of a Unified Field Theory General Physics 5
String theory ~ the theory of physical theory? Beyond the Standard Model 32
Applied mathematics of Game Theory overlooked as a representaiton in string theory? Beyond the Standard Model 0
Simple contradiction/flaw in many worlds theory/theory explanation. General Discussion 31
Matrix string theory, contact terms, and superstring field theory Beyond the Standard Model 2