Università Roma Tre

Linear dynamical systems. Forced harmonic oscillator with or without
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

V.I. Arnol'd, Mathematical Methods of Classical Mechanics, Editors
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