- Docente: Giorgio Turchetti
- Credits: 5
- SSD: MAT/07
- Language: Italian
- Moduli: Giorgio Turchetti (Modulo 1) Carlo Benedetti (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Physics (cod. 0096)
Learning outcomes
To provide the basic notions on the dynamical systems by analyzing
the
main mechanical models and by using Lagranges's equations.
Course contents
Dynamical systems: phase space, evolution equations, group
properties,
fisrt integrals, one dimensional problems, phase portraits,
inversion
points, time law, oscillators.
Lagrangian mechanics: constraints and their realization, forces
of
constraint , geometry of curves and surfaces, D'Alembert's
principle,
generalized potentials, Lagrange and Hamilton's equations.
Symmetries: Noether's theorem, scale and Galileo
transformations.
Mechanical models: the pendulum, the central field, the two
body
problem, the rigid body free and constrained. Equilibrium and its
stability;
small oscillations around a stable equilibrium.
Readings/Bibliography
G. Turchetti
Meccanica Classica dei Sistemi Fisici
Ed. Zanichelli , Bologna.
Additional reading
Landau L. D. Lifshitz
Meccanica
Ed. Boringhieri, Torino
Teaching methods
Lessons on the theory with exercises.
Assessment methods
Written and oral examination.
Office hours
See the website of Giorgio Turchetti
See the website of Carlo Benedetti