To deepen the study of dynamical systems, with more advanced methods, in the context of Lagrangian and Hamiltonian theory.
Curriculum
teacher profile teaching materials
friction. Stability theorems. Parametric resonance. Chain of
coupled harmonic oscillators: continuum limit and equations of
vibrating rope. Classic elastic diffusion. Hidden prime integrals
in the two-body problem and the harmonic oscillator problem
Riuniti, Rome, 1979 G. Gallavotti, Meccanica Elementare, ed. P.
Boringhieri, Turin, 1986 G. Gentile, Introduction to systems
dynamics, 1 (Ordinary differential equations, qualitative analysis and
some applications) and
2 (Lagrangian and Hamiltonian mechanics) L.D. Landau, E.M. Lifshitz,
Meccanica, Editori Riuniti, Rome, 1976
Fruizione: 20410084 COMPLEMENTI DI MECCANICA ANALITICA - MOD A in Fisica L-30 REUVERS Robin Johannes Petrus
Programme
Linear dynamical systems. Forced harmonic oscillator with or withoutfriction. Stability theorems. Parametric resonance. Chain of
coupled harmonic oscillators: continuum limit and equations of
vibrating rope. Classic elastic diffusion. Hidden prime integrals
in the two-body problem and the harmonic oscillator problem
Core Documentation
V.I. Arnol'd, Mathematical Methods of Classical Mechanics, EditorsRiuniti, Rome, 1979 G. Gallavotti, Meccanica Elementare, ed. P.
Boringhieri, Turin, 1986 G. Gentile, Introduction to systems
dynamics, 1 (Ordinary differential equations, qualitative analysis and
some applications) and
2 (Lagrangian and Hamiltonian mechanics) L.D. Landau, E.M. Lifshitz,
Meccanica, Editori Riuniti, Rome, 1976
Type of delivery of the course
Lectures in the classroomType of evaluation
The exam consists in the solution of a sheet of exercises assigned to > lesson, to be returned resolved within the oral exam, and in an interview oral > on a selection of the topics covered, to be agreed with the > teacher teacher profile teaching materials
friction. Stability theorems. Parametric resonance. Chain of
coupled harmonic oscillators: continuum limit and equations of
vibrating rope. Classic elastic diffusion. Hidden prime integrals
in the two-body problem and the harmonic oscillator problem
Riuniti, Rome, 1979 G. Gallavotti, Meccanica Elementare, ed. P.
Boringhieri, Turin, 1986 G. Gentile, Introduction to systems
dynamics, 1 (Ordinary differential equations, qualitative analysis and
some applications) and
2 (Lagrangian and Hamiltonian mechanics) L.D. Landau, E.M. Lifshitz,
Meccanica, Editori Riuniti, Rome, 1976
Fruizione: 20410084 COMPLEMENTI DI MECCANICA ANALITICA - MOD A in Fisica L-30 REUVERS Robin Johannes Petrus
Programme
Linear dynamical systems. Forced harmonic oscillator with or withoutfriction. Stability theorems. Parametric resonance. Chain of
coupled harmonic oscillators: continuum limit and equations of
vibrating rope. Classic elastic diffusion. Hidden prime integrals
in the two-body problem and the harmonic oscillator problem
Core Documentation
V.I. Arnol'd, Mathematical Methods of Classical Mechanics, EditorsRiuniti, Rome, 1979 G. Gallavotti, Meccanica Elementare, ed. P.
Boringhieri, Turin, 1986 G. Gentile, Introduction to systems
dynamics, 1 (Ordinary differential equations, qualitative analysis and
some applications) and
2 (Lagrangian and Hamiltonian mechanics) L.D. Landau, E.M. Lifshitz,
Meccanica, Editori Riuniti, Rome, 1976
Type of delivery of the course
Lectures in the classroomType of evaluation
The exam consists in the solution of a sheet of exercises assigned to > lesson, to be returned resolved within the oral exam, and in an interview oral > on a selection of the topics covered, to be agreed with the > teacher