19 citations · 92 across the 15 of their papers we have counts for
11 papers · 1 filter
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…
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…
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…
The rigid body dynamics: classical and algebro-geometric integration
Borislav Gajić
The basic notion for a motion of a heavy rigid body fixed at a point in three-dimensional space as well as its higher-dimensional generalizations are presented. On a basis of Lax r…
On the Cases of Kirchhoff and Chaplygin of the Kirchhoff Equations
Vladimir Dragovic, Borislav Gajic
It is proven that the general Kirchhoff case of the Kirchhoff equations for is not algebraic complete integrable system. Similar analytic behavior of the general solution…