Vladimir Dragovi'c

activity

20122026

most citedSpherical and Planar Ball Bearings -- a Study of Integrable Cases

3 citations · 3 across the 5 of their papers we have counts for

collaborators

Showing math.DSShow all

3 papers · 1 filter

math.DS2026

From bungee to $C^{1}$ and $C^{0}$ Hamiltonian systems and their integrability and nonintegrability

Vladimir Dragović, Borislav Gajić, Božidar Jovanović

We consider natural Hamiltonian systems with potentials that are $C^{0}$ or $C^{1}$ on a hypersurface and $C^{\infty}$ -smooth in the complement and introduce and study corresponding no…

math.DS2022

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…

math.DS2021

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…

From bungee to C1 and C0 Hamiltonian systems and their integrability and nonintegrability

On differential equations of integrable billiard tables

Isoperiodic families of Poncelet polygons inscribed in a circle and circumscribed about conics from a confocal pencil

From bungee to $C^{1}$ and $C^{0}$ Hamiltonian systems and their integrability and nonintegrability