Programma

Integrability and chaos: two complementary aspects of dynamics: (1) integrable and superintegrable Hamiltonian systems, (2) quasi-integrable systems and KAM theory, (3) graphical formalism and tree expansion,
(4) chaotic systems and hyperbolic systems, (5) Markov partitions and symbolic dynamics

Testi Adottati

Giovanni Gallavotti, Federico Bonetto, Guido Gentile, Aspects of Ergodic, Qualitative and Statistical Theory of Motion, Springer, 2004

Modalità Frequenza

Attendance is not compulsory but is strongly recommended.

Modalità Valutazione

The exam consists of completing exercises proposed during the lectures and discussing a short essay.

Programma

Integrability and chaos: two complementary aspects of dynamics: (1) integrable and superintegrable Hamiltonian systems, (2) quasi-integrable systems and KAM theory, (3) graphical formalism and tree expansion,
(4) chaotic systems and hyperbolic systems, (5) Markov partitions and symbolic dynamics

Testi Adottati

Giovanni Gallavotti, Federico Bonetto, Guido Gentile, Aspects of Ergodic, Qualitative and Statistical Theory of Motion, Springer, 2004

Modalità Frequenza

Attendance is not compulsory but is strongly recommended.

Modalità Valutazione

The exam consists of completing exercises proposed during the lectures and discussing a short essay.