Register to reply

*Good* KAM theory books

by Andrea85
Tags: books, theory
Share this thread:
Andrea85
#1
Oct14-09, 06:05 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 Physics news on Phys.org
Mapping the optimal route between two quantum states
Spin-based electronics: New material successfully tested
Verifying the future of quantum computing

Register to reply

Related Discussions
Good Perturbation/Catastrophe Theory Books? Quantum Physics 0
Good books in Set theory and Mathematical Logic Science & Math Textbooks 4
What are some good books on First Order Logic, set theory, and then analysis Science & Math Textbooks 0
Good introductory books for string theory? Beyond the Standard Model 2
Any Good Literature or Books on Number Theory Linear & Abstract Algebra 4