3 citations · 3 across the 5 of their papers we have counts for
8 papers
From bungee to and Hamiltonian systems and their integrability and nonintegrability
Vladimir Dragović, Borislav Gajić, Božidar Jovanović
We consider natural Hamiltonian systems with potentials that are or on a hypersurface and -smooth in the complement and introduce and study corresponding no…
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…
Orthogonal and Linear Regressions and Pencils of Confocal Quadrics
Vladimir Dragović, Borislav Gajić
This paper enhances and develops bridges between statistics, mechanics, and geometry. For a given system of points in representing a sample of full rank, we construct…
On differential equations of integrable billiard tables
Vladimir Dragović, Andrey E. Mironov
We introduce a method to find differential equations for functions which define tables, such that associated billiard systems admit a local first integral. We illustrate this metho…
Isoharmonic deformations and constrained Schlesinger systems
Vladimir Dragović, Vasilisa Shramchenko
We introduce and study the dynamics of Chebyshev polynomials on real intervals. We define isoharmonic deformations as a natural generalization of the Chebyshev dynamics. This…
Isoperiodic families of Poncelet polygons inscribed in a circle and circumscribed about conics from a confocal pencil
Vladimir Dragović, Milena Radnović
Poncelet polygons inscribed in a circle and circumscribed about conics from a confocal family naturally arise in the analysis of the numerical range and Blaschke products. We exami…
Triangular Schlesinger systems and superelliptic curves
Vladimir Dragović, Renat Gontsov, Vasilisa Shramchenko
We study the Schlesinger system of partial differential equations in the case when the unknown matrices of arbitrary size are triangular and the eigenvalues of each m…
Pseudo-integrable billiards and arithmetic dynamics
Vladimir Dragović, Milena Radnović
We introduce a new class of billiard systems in the plane, with boundaries formed by finitely many arcs of confocal conics such that they contain some reflex angles. Fundamental dy…