Explicit Solutions of Classical Generalized Toda Models.
Fibration of the phase space for the Korteweg-de Vries equation
In this article we prove that the fibration of by potentials which are isospectral for the 1-dimensional periodic Schrödinger equation, is trivial. This result can be applied, in particular, to -gap solutions of the Korteweg-de Vries equation (KdV) on the circle: one shows that KdV, a completely integrable Hamiltonian system, has global action-angle variables.
Field theory and KAM tori.
Foliation of phase space for the cubic non-linear Schrödinger equation
Generalized Weierstrass ...-functions and KP flows in affine spaces.
Geodesic Flow on SO(4) and Abelian Surfaces.
Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system
By applying the Hamiltonian reduction technique we derive a matrix first order differential equation that yields the classical r-matrices of the elliptic (Euler-) Calogero-Moser systems as well as their degenerations.
Geometric dynamics of calcium oscillations ODEs systems.
Geometric quantization of the MIC-Kepler problem via extension of the phase space
Geometric study of a family of integrable systems. (Étude géométrique d'une famille de systémes intégrables.)
Geometrical aspects of the Landau-Hall problem on the hiperbolic plane.
Se discuten algunos aspectos del problema de Landau-Hall hiperbólico. El álgebra de Lie de las simetrías infinitesimales de este problema se da explícitamente, resultando ser isomorfa a so(2,1) y que sus invariantes Noether asociados son los momentos angulares hiperbólicos. Asimismo se desarrolla la formulación hamiltoniana, lo que nos permitirá obtener la variedad de órbitas de energía constante de este problema mediante técnicas de reducción simpléctica.
Geometry of invariant tori of certain integrable systems with symmetry and an application to a nonholonomic system.
Hamilton-Jacobi theory and moving frames.
Hidden symmetries of integrable systems in Yang-Mills theory and Kähler geometry
Hierarchy of integrable geodesic flows.
A family of integrable geodesic flows is obtained. Any such a family corresponds to a pair of geodesically equivalent metrics.
Inégalités a priori pour des tores lagrangiens invariants par des difféomorphismes symplectiques
Intégrabilité et non-intégrabilité de systèmes hamiltoniens
Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance case.
Integrability of hamiltonian systems and differential Galois groups of higher variational equations
Integrable dynamical systems obtained by duplication