84 citations · 545 across the 43 of their papers we have counts for
47 papers
Heavy rigid body with a gyroscope in
Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic
Starting from the following multidimensional integrable generalizations of the heavy rigid body systems: the Euler top, the Lagrange top, the Lagrange bitop, and the totally symmet…
Integrability of homogeneous exact magnetic flows on spheres
Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic
We consider motion of a material point placed in a constant homogeneous magnetic field in and also motion restricted to the sphere . While there is an obviou…
Affine Geometry and Relativity
Bozidar Jovanovic
We present the basic concepts of space and time, the Galilean and pseudo-Euclidean geometry. We use an elementary geometric framework of affine spaces and groups of affine transfor…
Integrable systems in cosymplectic geometry
Bozidar Jovanovic, Katarina Lukic
Motivated by the time-dependent Hamiltonian dynamics, we extend the notion of Arnold-Liouville and noncommutative integrability of Hamiltonian systems on symplectic manifolds to th…
Spherical and Planar Ball Bearings -- a Study of Integrable Cases
Vladimir Dragović, Borislav Gajić, Božidar Jovanović
We consider the nonholonomic systems of homogeneous balls with the same radius that are rolling without slipping about a fixed sphere $\math…
Spherical and planar ball bearings -- nonholonomic systems with invariant measures
Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic
We first construct nonholonomic systems of homogeneous balls with centers and with the same radius that are rolling without sl…