Перегляд за автором "Tsiganov, A.V."

Сортувати за: Порядок: Результатів:

  • Integrability of Nonholonomic Heisenberg Type Systems 
    Grigoryev, Y. A.; Sozonov, A.P.; Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We show that some modern geometric methods of Hamiltonian dynamics can be directly applied to the nonholonomic Heisenberg type systems. As an example we present characteristic Killing tensors, compatible Poisson brackets, ...
  • New Variables of Separation for the Steklov-Lyapunov System 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    A rigid body in an ideal fluid is an important example of Hamiltonian systems on a dual to the semidirect product Lie algebra e(3)=so(3)⋉R³. We present the bi-Hamiltonian structure and the corresponding variables of ...
  • On a Trivial Family of Noncommutative Integrable Systems 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    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 ...
  • On Classical r-Matrix for the Kowalevski Gyrostat on so(4) 
    Komarov, I.V.; Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We present the trigonometric Lax matrix and classical r-matrix for the Kowalevski gyrostat on so(4) algebra by using the auxiliary matrix algebras so(3,2) or sp(4).
  • On Integrable Perturbations of Some Nonholonomic Systems 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Integrable perturbations of the nonholonomic Suslov, Veselova, Chaplygin and Heisenberg problems are discussed in the framework of the classical Bertrand-Darboux method. We study the relations between the Bertrand-Darboux ...
  • On the Darboux-Nijenhuis variables for the open Toda lattice 
    Grigoryev, Y.A.; Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We discuss two known constructions proposed by Moser and by Sklyanin of the Darboux-Nijenhuis coordinates for the open Toda lattice.
  • Superintegrable Stäckel Systems on the Plane: Elliptic and Parabolic Coordinates 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Recently we proposed a generic construction of the additional integrals of motion for the Stäckel systems applying addition theorems to the angle variables. In this note we show some trivial examples associated with angle ...