Course description

Lagrangian formulation of Newtonian mechanics; Hamiltonian formalism: the Poisson bracket, canonical transformations; integrable systems: Liouville¿Arnol¿d theorem; canonical perturbation theory; order and chaos in Hamiltonian systems: the KAM theorem, twist maps. Ergodic theory: basic concepts and examples; ergodic theorems and applications; entropy. (offered in odd-cumbered years)

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