20410416-2 - FM410-Complements of Analytical Mechanics - Module B

To deepen the study of dynamical systems, with more advanced methods, in the context of Lagrangian and Hamiltonian theory.

GENTILE GUIDO

teacher profile | teaching materials

Fruizione: 20410085 COMPLEMENTI DI MECCANICA ANALITICA - MOD. B in Fisica L-30 GENTILE GUIDO

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 applicazioni, available online
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online

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 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.]

GENTILE GUIDO

teacher profile | teaching materials

Fruizione: 20410085 COMPLEMENTI DI MECCANICA ANALITICA - MOD. B in Fisica L-30 GENTILE GUIDO

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 applicazioni, available online
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online

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 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.]

GENTILE GUIDO

teacher profile | teaching materials

Fruizione: 20410085 COMPLEMENTI DI MECCANICA ANALITICA - MOD. B in Fisica L-30 GENTILE GUIDO

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 applicazioni, available online
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana, available online

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 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.]