Elastic Problems and Optimal Control: Integrable Systems
Elliptic K3 surfaces as dynamical models and their Hamiltonian monodromy
This note deals with Lagrangian fibrations of elliptic K3 surfaces and the associated Hamiltonian monodromy. The fibration is constructed through the Weierstraß normal form of elliptic surfaces. There is given an example of K3 dynamical models with the identity monodromy matrix around 12 elementary singular loci.
Equivariant normal form for nondegenerate singular orbits of integrable hamiltonian systems
Exemples de hamiltoniens non intégrables en mécanique analytique réelle
Existence et non existence de tores invariants par des difféomorphismes symplectiques
Explicit Solutions of Classical Generalized Toda Models.