To deepen the study of dynamical systems both with more advanced methods, in the context of Lagrangian and Hamiltonian theory and providing applications also in other fields
teacher profile teaching materials
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana
Programme
Euler's angles. Euler's equation for the dynamics of the rigid body. Spinning top of Lagrange. Flow box theorem. Noether's theorem inm the case of more groups of symmetries. Theory of small oscillations.Perturbation theory. Homological equation. Isochronous and anisochronous systems. Birkhoff series. All-order perturbation theory for isochronous systems and Nekhoroshev's theorem.Core Documentation
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioniG. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana
Type of delivery of the course
Lectures. [In the event of an extension of the health emergency from COVID-19, all provisions that regulate the methods of carrying out both teaching activities and student assessment will be implemented.]Attendance
Attending the course is strongly 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/or the notes distributed in class. [In the event of an extension of the health emergency from COVID-19, all provisions that regulate the methods of carrying out both teaching activities and student assessment will be implemented.]