Wednesday 24 April 2013 h. 15:00, room 2BC30

Gabriella SCHIRINZI (Padova, Dip. Mat.)

"Almost integrable Hamiltonian systems and the approach of the Perturbation Theory"

Abstract

A Hamiltonian dynamical system is a system whose dynamic can be described by the Hamilton's equations. When we study such a system we try to find an explicit expression for the solutions of the equations, but this is not always possible, that is a Hamiltonian system is not always "integrable". Many of the most important physical systems are not integrable but their dynamic can be described by a Hamiltonian which is a small perturbation of an integrable one. This kind of functions, called "almost integrable Hamiltonians", are studied by the Hamiltonian Perturbation Theory.

After recalling basic notions about Lagrangian and Hamiltonian mechanics, I will introduce almost integrable systems and give an introduction to the approach of the Perturbation Theory, stating the main results.

Rif. int. C. Marastoni, T. Vargiolu