Add to ORKGWe show that the bi-Hamiltonian structure of the rational n-particle (attractive) Calogero\u2013Moser system can be obtained by means of a double projection from a very simple Poisson pair on the cotangent bundle of gl(n:R). The relation with the Lax formalism is also discussed
The bi-Hamiltonian structure of certain multicomponent integrable systems, generalizations of the di...
It is shown that a class of dynamical systems (encompassing the one recently considered by F. Caloge...
It is shown that the Poisson structure of dynamical systems with three degrees of freedom can be def...
We show that the bi-Hamiltonian structure of the rational n-particle (attractive) Calogero–Moser sys...
We examine the Hamiltonian structures of some Calogero-Moser and Ruijsenaars-Schneider N-body integr...
We introduce some basic concepts from symplectic geometry, classical mechanics and integrable system...
This thesis presents our results on Liouville integrable systems of Calogero-Ruijsenaars type: 1. We...
We apply a recently introduced reduction procedure based on the embedding of non-crystallographic Co...
Abstract. The Hamilton–Jacobi problem is revisited having in mind the con-sequences arising from a p...
The Hamilton–Jacobi problem is revisited bearing in mind the consequences arising from a possible bi...
We apply a recently introduced reduction procedure based on the embedding of non-crystallographic Co...
All Painlevé equations can be written as a time-dependent Hamiltonian system, and as such they admit...
International audienceWe compute the full expression of the second Poisson bracket structure forN=2 ...
We study the geometry of completely integrable bi-Hamiltonian systems, and in particular, the existe...
The extension of the Painlev\'e-Calogero coorespondence for n-particle Inozemtsev systems raises to ...
The bi-Hamiltonian structure of certain multicomponent integrable systems, generalizations of the di...
It is shown that a class of dynamical systems (encompassing the one recently considered by F. Caloge...
It is shown that the Poisson structure of dynamical systems with three degrees of freedom can be def...
We show that the bi-Hamiltonian structure of the rational n-particle (attractive) Calogero–Moser sys...
We examine the Hamiltonian structures of some Calogero-Moser and Ruijsenaars-Schneider N-body integr...
We introduce some basic concepts from symplectic geometry, classical mechanics and integrable system...
This thesis presents our results on Liouville integrable systems of Calogero-Ruijsenaars type: 1. We...
We apply a recently introduced reduction procedure based on the embedding of non-crystallographic Co...
Abstract. The Hamilton–Jacobi problem is revisited having in mind the con-sequences arising from a p...
The Hamilton–Jacobi problem is revisited bearing in mind the consequences arising from a possible bi...
We apply a recently introduced reduction procedure based on the embedding of non-crystallographic Co...
All Painlevé equations can be written as a time-dependent Hamiltonian system, and as such they admit...
International audienceWe compute the full expression of the second Poisson bracket structure forN=2 ...
We study the geometry of completely integrable bi-Hamiltonian systems, and in particular, the existe...
The extension of the Painlev\'e-Calogero coorespondence for n-particle Inozemtsev systems raises to ...
The bi-Hamiltonian structure of certain multicomponent integrable systems, generalizations of the di...
It is shown that a class of dynamical systems (encompassing the one recently considered by F. Caloge...
It is shown that the Poisson structure of dynamical systems with three degrees of freedom can be def...