19 citations · 92 across the 15 of their papers we have counts for
15 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…
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…
Gyroscopic Chaplygin systems and integrable magnetic flows on spheres
Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic
We introduce and study the Chaplygin systems with gyroscopic forces. This natural class of nonholonomic systems has not been treated before. We put a special emphasis on the import…
Demchenko's nonholonomic case of gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis
Vladimir Dragovic, Borislav Gajic, Bozidar Jovanovic
We present an integrable nonholonomic case of rolling without sliding of a gyroscopic ball over a sphere. This case was introduced and studied in detail by Vasilije Demchenko in hi…
Nonholonomic connections, time reparametrizations, and integrability of the rolling ball over a sphere
Borislav Gajic, Bozidar Jovanovic
We study a time reparametrisation of the Newton type equations on Riemannian manifolds slightly modifying the Chaplygin multiplier method, allowing us to consider the Chaplygin met…