Add to ORKGAbstract—We discuss the relationship between the representation of an integrable system as an L-A-pair with a spectral parameter and the existence of two compatible Hamiltonian representations of this system. We consider examples of compatible Poisson brackets on Lie algebras, as well as the corresponding integrable Hamiltonian systems and Lax representations
We present a geometric construction of almost Poisson brackets for nonholonomic mechanical systems w...
This work contains a brief and elementary exposition of the foundations of Poisson and symplectic ge...
We consider a special class of Poisson brackets related to systems of ordinary differential equation...
9 pages, latexWe consider a special class of linear and quadratic Poisson brackets related to ODE sy...
Acknowledgments. This paper is a part of the project “Matched pairs of Lagrangian and Hamiltonian Sy...
In the study of classical Hamiltonian systems, one is naturally interested in those which are comple...
Using a Poisson bracket representation, in 3D, of the Lie algebra sl (2), we first use highest weigh...
We establish the algebraic origin of the following observations made previously by the authors and c...
In this thesis we construct two integrable systems associated with an arbitrary simple Lie algebras:...
Abstract—A Hamiltonian system on a Poisson manifold M is called integrable if it possesses sufficien...
For a given skew symmetric real n × n matrix N, the bracket [X, Y]_N = XNY − YNX defines a Lie algeb...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
International audienceWe establish the algebraic origin of the following observations made previousl...
We study local normal forms for completely integrable systems on Poisson manifolds in the presence o...
We present results on numerical integrators that exactly preserve momentum maps and Poisson brackets...
We present a geometric construction of almost Poisson brackets for nonholonomic mechanical systems w...
This work contains a brief and elementary exposition of the foundations of Poisson and symplectic ge...
We consider a special class of Poisson brackets related to systems of ordinary differential equation...
9 pages, latexWe consider a special class of linear and quadratic Poisson brackets related to ODE sy...
Acknowledgments. This paper is a part of the project “Matched pairs of Lagrangian and Hamiltonian Sy...
In the study of classical Hamiltonian systems, one is naturally interested in those which are comple...
Using a Poisson bracket representation, in 3D, of the Lie algebra sl (2), we first use highest weigh...
We establish the algebraic origin of the following observations made previously by the authors and c...
In this thesis we construct two integrable systems associated with an arbitrary simple Lie algebras:...
Abstract—A Hamiltonian system on a Poisson manifold M is called integrable if it possesses sufficien...
For a given skew symmetric real n × n matrix N, the bracket [X, Y]_N = XNY − YNX defines a Lie algeb...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
International audienceWe establish the algebraic origin of the following observations made previousl...
We study local normal forms for completely integrable systems on Poisson manifolds in the presence o...
We present results on numerical integrators that exactly preserve momentum maps and Poisson brackets...
We present a geometric construction of almost Poisson brackets for nonholonomic mechanical systems w...
This work contains a brief and elementary exposition of the foundations of Poisson and symplectic ge...
We consider a special class of Poisson brackets related to systems of ordinary differential equation...