Add to ORKGAbstract. We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon–Heiles, rational Calogero–Moser and Ruijsenaars–Schneider systems and apply one of these deformations to construct a new trivial family of noncommutative integrable systems. Key words: bi-Hamiltonian geometry; noncommutative integrable systems 2010 Mathematics Subject Classification: 37J35; 53D17; 70H06
In this paper we will discuss some features of the bi-Hamiltonian method for solving the Hamilton-Ja...
Abstract. This article examines the relationship between geometric Poisson brackets and integrable s...
In this paper we present an overview of the connection between completely integrable systems and the...
This is the text of a talk given in Dalmine on May 9, 2007, during one of the “scientific meetings” ...
Abstract—A Hamiltonian system on a Poisson manifold M is called integrable if it possesses sufficien...
We study the geometry of completely integrable bi-Hamiltonian systems, and in particular, the existe...
The dissertation is devoted to the applications of the Noncommutative Geometry Program to the study ...
An overview of Hamiltonian systems with noncanonical Poisson structures is given. Examples of bi-Ham...
Abstract: It is known that any integrable, possibly degenerate, Hamiltonian system is Hamiltonian re...
From the MR review by W.Oevel: "The authors investigate the relations between two abstract algebraic...
We show that with every separable calssical Stäckel system of Benenti type on a Riemannian space on...
In this paper we extensively study the notion of Hamiltonian structure for nonabelian differential-d...
We prove that the Kupershmidt deformation of a bi-Hamiltonian system is itself bi-Hamiltonian. Moreo...
Producción CientíficaGiven a Lie-Poisson completely integrable bi-Hamiltonian system on R^n, we pres...
We discuss an application of the Poisson brackets deformation theory to the construction of the inte...
In this paper we will discuss some features of the bi-Hamiltonian method for solving the Hamilton-Ja...
Abstract. This article examines the relationship between geometric Poisson brackets and integrable s...
In this paper we present an overview of the connection between completely integrable systems and the...
This is the text of a talk given in Dalmine on May 9, 2007, during one of the “scientific meetings” ...
Abstract—A Hamiltonian system on a Poisson manifold M is called integrable if it possesses sufficien...
We study the geometry of completely integrable bi-Hamiltonian systems, and in particular, the existe...
The dissertation is devoted to the applications of the Noncommutative Geometry Program to the study ...
An overview of Hamiltonian systems with noncanonical Poisson structures is given. Examples of bi-Ham...
Abstract: It is known that any integrable, possibly degenerate, Hamiltonian system is Hamiltonian re...
From the MR review by W.Oevel: "The authors investigate the relations between two abstract algebraic...
We show that with every separable calssical Stäckel system of Benenti type on a Riemannian space on...
In this paper we extensively study the notion of Hamiltonian structure for nonabelian differential-d...
We prove that the Kupershmidt deformation of a bi-Hamiltonian system is itself bi-Hamiltonian. Moreo...
Producción CientíficaGiven a Lie-Poisson completely integrable bi-Hamiltonian system on R^n, we pres...
We discuss an application of the Poisson brackets deformation theory to the construction of the inte...
In this paper we will discuss some features of the bi-Hamiltonian method for solving the Hamilton-Ja...
Abstract. This article examines the relationship between geometric Poisson brackets and integrable s...
In this paper we present an overview of the connection between completely integrable systems and the...