Bäcklund transformations for the Kirchhoff top.
Bäcklund transformations for the trigonometric Gaudin magnet.
Bidifferential calculus approach to AKNS hierarchies and their solutions.
Bound states in completely integrable systems with two types of particles
Chapitre VI Compactification d’actions de et variables action-angle avec singularités
Classical particle in presence of magnetic field, hyperbolic Lobachevsky and spherical Riemann models.
Commutativity of flows and injectivity of nonsingular mappings
A relationship between jacobian maps and the commutativity properties of suitable couples of hamiltonian vector fields is studied. A theorem by Meisters and Olech is extended to the nonpolynomial case. A property implying the Jacobian Conjecture in ℝ² is described.
Completely Integrable Hamiltonian Systems Connected with Semisimple Lie Algebras.
Convergence of Birkhoff normal forms for integrable systems.
Corrections to "L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper triangular matrices" (Fund. Math. 156 (1998), 99–110)
Cyclic coverings of abelian varities and the Goryachev-Chaplygin top.
Discrete isothermic surfaces.
Divergences in formal variational calculus and boundary terms in Hamiltonian formalism
It is shown how to extend the formal variational calculus in order to incorporate integrals of divergences into it. Such a generalization permits to study nontrivial boundary problems in field theory on the base of canonical formalism.
Do all integrable equations satisfy integrability criteria?
Dynamical connections and non-autonomous lagrangian systems
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