Università Roma Tre

Introduction to classical KAM theory. Statements and proofs of KAM theorems.

The texts will be indicated in class

Introduction to classical KAM theory. Statements and proofs of KAM theorems.

Chierchia L.: Kolmogorov-Arnold-Moser (KAM) Theory
Mathematics of complexity and dynamical systems. Vols. 1-3, 810-836, Springer, New York, 2012.
http://www.mat.uniroma3.it/users/chierchia/REPRINTS/KAM09.pdf

Chierchia L. Kolmogorov's 1954 paper on nearly-integrable Hamiltonian systems.
Regular and Chaotic Dynamics, Vol. 13, no. 2, pp. 130-139 (2008)
http://www.mat.uniroma3.it/users/chierchia/REPRINTS/RCD08.pdf

Chierchia L. Kolmogorov-Arnold-Moser (KAM) Theory
Mathematics of complexity and dynamical systems. Vols. 1-3, 810-836, Springer, New York, 2012.
http://www.mat.uniroma3.it/users/chierchia/REPRINTS/KAM09.pdf

KAM close to an elliptic fixed point

handwritten notes by the teacher

In this course, we will discuss various aspects and points of view in KAM theory, both in finite and infinite dimension.
In particular we will present the fundaments of classical theory but also recent problems and active lines of research.

The texts will be indicated in class