KAM theory in dynamical systems

Question

What is the best text/lecture notes to read if you want to learn KAM theory in Hamiltonian dynamical systems?

Answer 1

Maybe you could start with :

De La Llave R., 2003, A Tutorial on Kam Theory, Universi Series. American Mathematical Society

that you can find on numerous places on the internet. You will also find numerous relevant references therein.

Answer 2

Where are you starting from? A very nice book for KAM theory is Stable and Random Motions in Dynamical Systems, by Jurgen Moser (Princeton University Press, Annals of Mathematics series, No. 77). It's not a textbook-style presentation, it's a monograph, but it does cover a lot of KAM theory and doesn't assume more than mathematical sophistication as a pre-requisite.