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.