19 citations · 143 across the 26 of their papers we have counts for
27 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…
Deformations of the Hill curves and isoperiodicity in the KdV and the sine-Gordon equations
Vladimir Dragovic, Vasilisa Shramchenko
We consider a family of genus hyperelliptic curves as double ramified coverings over the Riemann sphere with the set of branch points of the form $\{0, \infty, x_1, \dots, x_g,…
Isoperiodic deformations of Abelian differentials of the second kind over elliptic curves and the Boussinesq equation
Vladimir Dragović, Vasilisa Shramchenko
We study deformations of a genus one Riemann surface and of a second order Abelian differential on the surface which preserve the periods of the differential with respect to a chos…
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…