31 citations
- Mathematical Institute of the Serbian Academy of Sciences and Arts6 papers
- University of Novi SadRS2 papers
- Academy of Engineering Sciences of SerbiaRS1 paper
- Freie Universität BerlinDE1 paper
- Institute of Physics BelgradeRS1 paper
- Mathematical Institute of the Slovak Academy of SciencesSK1 paper
- University of BelgradeRS1 paper
- University of OregonUS1 paper
- University of ViennaAT1 paper
5 papers · 1 filter
Hirota-Kimura Type Discretization of the Classical Nonholonomic Suslov Problem
Vladimir Dragovic, Borislav Gajic
We constructed Hirota-Kimura type discretization of the classical nonholonomic Suslov problem of motion of rigid body fixed at a point. We found a first integral proving integrabil…
Partial Reductions of Hamiltonian Flows and Hess-Appel'rot Systems on SO(n)
Bozidar Jovanovic
We study reductions of the Hamiltonian flows restricted to their invariant submanifolds. As examples, we consider partial Lagrange-Routh reductions of the natural mechanical system…
Magnetic Geodesic Flows on Coadjoint Orbits
Alexey V. Bolsinov, Bozidar Jovanovic
We describe a class of completely integrable -invariant magnetic geodesic flows on (co)adjoint orbits of a compact connected Lie group with magnetic field given by the Kiril…
Systems of Hess-Appel'rot type
Vladimir Dragovic, Borislav Gajic
We construct higher-dimensional generalizations of the classical Hess-Appel'rot rigid body system. We give a Lax pair with a spectral parameter leading to an algebro-geometric inte…
Integrable geodesic flows on Riemannian manifolds: Construction and Obstructions
Alexey V. Bolsinov, Bozidar Jovanovic
This paper is a review of recent and classical results on integrable geodesic flows on Riemannian manifolds and topological obstructions to integrability. We also discuss some open…