Add to ORKGAbstract. We consider set of functions on Poisson manifold related by continues one-parameter group of transformations. Class of vector fields that produce involutive families of functions is investigated and relationship between these vector fields and non-Noether symmetries of Hamiltonian dynamical systems is outlined. Theory is illustrated with sample models: modified Boussinesq system and Broer-Kaup system
International audienceWe construct a master dynamical system on a U(n) quasi-Poisson manifold, Md, b...
We extend the Poincare-Lyapounov-Nekhoroshev theorem from torus actions and invariant tori to genera...
A method to construct Hamiltonian theories for systems of both ordinary and partial differential equ...
In a recent article, certain underdetermined linear systems of partial dif-ferential equations conne...
Using the geometric language of modern differential geometry, we discuss different methods for obtai...
(29 pages)International audienceWe study Lie-Poisson actions on symplectic manifolds. We show that t...
(29 pages)International audienceWe study Lie-Poisson actions on symplectic manifolds. We show that t...
This paper shows that various well-known dynamical systems can be described as vector fields associa...
This paper shows that various well-known dynamical systems can be described as vector fields associa...
This paper shows that various well-known dynamical systems can be described as vector fields associa...
This paper shows that various well-known dynamical systems can be described as vector fields associa...
We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamica...
This paper shows that various well-known dynamical systems can be described as vector fields associa...
We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamica...
19 pagesThis paper shows that various relevant dynamical systems can be described as vector fields a...
International audienceWe construct a master dynamical system on a U(n) quasi-Poisson manifold, Md, b...
We extend the Poincare-Lyapounov-Nekhoroshev theorem from torus actions and invariant tori to genera...
A method to construct Hamiltonian theories for systems of both ordinary and partial differential equ...
In a recent article, certain underdetermined linear systems of partial dif-ferential equations conne...
Using the geometric language of modern differential geometry, we discuss different methods for obtai...
(29 pages)International audienceWe study Lie-Poisson actions on symplectic manifolds. We show that t...
(29 pages)International audienceWe study Lie-Poisson actions on symplectic manifolds. We show that t...
This paper shows that various well-known dynamical systems can be described as vector fields associa...
This paper shows that various well-known dynamical systems can be described as vector fields associa...
This paper shows that various well-known dynamical systems can be described as vector fields associa...
This paper shows that various well-known dynamical systems can be described as vector fields associa...
We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamica...
This paper shows that various well-known dynamical systems can be described as vector fields associa...
We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamica...
19 pagesThis paper shows that various relevant dynamical systems can be described as vector fields a...
International audienceWe construct a master dynamical system on a U(n) quasi-Poisson manifold, Md, b...
We extend the Poincare-Lyapounov-Nekhoroshev theorem from torus actions and invariant tori to genera...
A method to construct Hamiltonian theories for systems of both ordinary and partial differential equ...