Università Roma Tre

Conservative mechanical systems. Qualitative analysis of motion and Lyapunov stability. Planar systems and one-dimensional mechanical systems. Central motions and the two-body problem. Change of frames of reference. Fictitious forces. Constraints. Rigid bodies. Lagrangian mechanics. Variational principles. Cyclic variables, constants of motion and symmetries. Hamiltonian mechanics. Liouville's theorem and Poincaré's recurrence theorem. Canonical transformations. Generating functions. Hamilton-Jacobi method and action-angle variables.

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