Systèmes dynamiques hamiltoniens

Ects : 6
Compétence à acquérir :
1. Reminder on differential equations
2. Hamiltonian systems on R2n
3. Smooth manifolds, tangent and cotangent bundles
4. Differential forms
5. Symplectic manifolds
6. Hamiltonian systems on symplectic manifolds
7. Integrability of Hamiltonian systems
8. Hamiltonian perturbation theory
9. The KAM theorem
10. The Nekhoroshev theorem