To master the analytical tools used in classical mechanics, and to
illustrate their applications, both in mechanics and in other related fields
illustrate their applications, both in mechanics and in other related fields
teacher profile teaching materials
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online
Programme
Perturbation theory. Homological equation. Perturbative series. Birkhoff series. Perturbation theory to all orders for isochronous systems. KAM theorem.Core Documentation
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni, available onlineG. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online
Reference Bibliography
V.I. Arnol’d, Mathematical Methods of Classical Mechanics, Springer (1989). A. Fasano & S. Marmi, Analytical Mechanics, Oxford University Press (2006). G. Gallavotti, The Elements of Mechanics, Springer (1983). L.D. Landau & E.M. Lifshitz, Mechanics, Pergamon Press (1960).Type of delivery of the course
Lectures.Attendance
Attending the course is recommended but not mandatory.Type of evaluation
The exam consists of an oral interview in which the student will have to discuss the topics covered in class, with reference to the texts used and the notes distributed in class.