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
scheda docente
materiale didattico
- parametric oscillator and parametric resonance
- coupled oscillators, continuum limits e.g. the vibrating string
- Euler angles, Euler and Lagrange tops
- G. Gallavotti, Meccanica Elementare, ed. P. Boringhieri, Torino, 1986
- G. Gentile, Introduzione ai sistemi dinamici
- L.D. Landau, E.M. Lifshitz, Meccanica, Editori Riuniti, Roma, 1976
Programma
Classical topics in analytical mechanics- parametric oscillator and parametric resonance
- coupled oscillators, continuum limits e.g. the vibrating string
- Euler angles, Euler and Lagrange tops
Testi Adottati
- V.I. Arnol’d, Metodi Matematici della Meccanica Classica, Editori Riuniti, Roma, 1979- G. Gallavotti, Meccanica Elementare, ed. P. Boringhieri, Torino, 1986
- G. Gentile, Introduzione ai sistemi dinamici
- L.D. Landau, E.M. Lifshitz, Meccanica, Editori Riuniti, Roma, 1976
Modalità Erogazione
Lectures in the classroomModalità Frequenza
Participation in the lectures is not compulsory but strongly recommendedModalità Valutazione
The exam consists in the solution of an exercise sheet, to be handed in at least one week before the oral exam, and an oral exam.