A discretization of the nonholonomic Chaplygin sphere problem.
A dynamical system connected with inhomogeneous 6-vertex model
A finite-dimensional integrable system associated with a polynomial eigenvalue problem.
A note on bidifferential calculi and bihamiltonian systems
In this note we discuss the geometrical relationship between bi-Hamiltonian systems and bi-differential calculi, introduced by Dimakis and Möller–Hoissen.
A recursive scheme of first integrals of the geodesic flow of a Finsler manifold.
A special case of the Garnier system, -polarized abelian surfaces and their moduli
A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog.
Abelian surfaces and Kowalewski's top
A-cohomologie et opérateurs de récursion
Action-angle coordinates at singularities for analytic integrable systems.
Actions localement libres de groupes résolubles
Soient un groupe de Lie connexe de dimension , une action localement libre de classe de sur une variété compacte de dimension . Nous supposons qu’il existe dans l’algèbre de Lie de un champ tel que les valeurs propres de soient avec . Alors, nous montrons que est -conjuguée à une “action modèle" de sur un espace homogène où est un groupe de Lie contenant . Si , est uniquement déterminé par ; si , il y a deux groupes possibles, et nous pouvons donc donner une...
Addendum: Systems of Toda Type, Inverse Spectral Problems, and Representation Theory.
Algebraic calculation of the energy eigenvalues for the nondegenerate three-dimensional Kepler-Coulomb potential.
Algebraic complete integrability of an integrable system of Beauville
We show that the Beauville’s integrable system on a ten dimensional moduli space of sheaves on a K3 surface constructed via a moduli space of stable sheaves on cubic threefolds is algebraically completely integrable, using O’Grady’s construction of a symplectic resolution of the moduli space of sheaves on a K3.
Algebraic integrability of Schrodinger operators and representations of Lie algebras
Algebraic non-integrability of the Cohen map.
Algebraically completely integrable systems and Kummer varieties.
Algebro-geometric Approach to the Yang-Baxter Equation and Related Topics
An explicit formula for symmetric polynomials related to the eigenfunctions of Calogero-Sutherland models.
An integrable flow on a family of Hilbert Grassmannians.