3 papers
math-ph2026
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…
math.DG2025
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…
math-ph2025
Spherical and Planar Ball Bearings -- a Study of Integrable Cases
Vladimir DragoviÄ, Borislav GajiÄ, Božidar JovanoviÄ
We consider the nonholonomic systems of homogeneous balls with the same radius that are rolling without slipping about a fixed sphere $\math…