105 citations · 316 across the 12 of their papers we have counts for
12 papers
On superintegrable systems separable in Cartesian coordinates
Yu. A. Grigoriev, A. V. Tsiganov
We continue the study of superintegrable systems of Thompson's type separable in Cartesian coordinates. An additional integral of motion for these systems is the polynomial in mome…
On a Trivial Family of Noncommutative Integrable Systems
Andrey V. Tsiganov
We discuss trivial deformations of the canonical Poisson brackets associated with the Toda lattices, relativistic Toda lattices, Henon-Heiles, rational Calogero-Moser and Ruijsenaa…
New Variables of Separation for the Steklov-Lyapunov System
Andrey V. Tsiganov
A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra . We present the bi-Ha…
On natural Poisson bivectors on the sphere
A V Tsiganov
We discuss the concept of natural Poisson bivectors, which allows us to consider the overwhelming majority of known integrable systems on the sphere in framework of bi-Hamiltonian…
On bi-integrable natural Hamiltonian systems on the Riemannian manifolds
A. V. Tsiganov
We introduce the concept of natural Poisson bivectors, which generalizes the Benenti approach to construction of natural integrable systems on the Riemannian manifolds and allows u…
Integrable Euler top and nonholonomic Chaplygin ball
A V Tsiganov
We discuss the Poisson structures, Lax matrices, -matrices, bi-hamiltonian structures, the variables of separation and other attributes of the modern theory of dynamical systems…