69 citations · 266 across the 20 of their papers we have counts for
5 papers · 1 filter
Asymptotic behaviour of the third Painlevé transcendents in the space of initial values
Nalini Joshi, Milena Radnovic
We study the asymptotic behaviour of the solutions of the generic (-type) third Painlevé equation in the space of initial values as the independent variable approaches i…
Bicentennial of the Great Poncelet Theorem (1813-2013): Current Advances
Vladimir Dragovic, Milena Radnovic
The paper gives a review of very recent results related to the Poncelet Theorem, on the occasion of its bicentennial. We are telling the story of one of the most beautiful theorems…
Billiard algebra, integrable line congruences, and double reflection nets
Vladimir Dragovic, Milena Radnovic
The billiard systems within quadrics, playing the role of discrete analogues of geodesics on ellipsoids, are incorporated into the theory of integrable quad-graphs. An initial obse…
Bifurcations of Liouville Tori in Elliptical Billiards
Vladimir Dragovic, Milena Radnovic
A detailed description of topology of integrable billiard systems is given. For elliptical billiards and geodesic billiards on ellipsoid, the corresponding Fomenko graphs are const…
Foliations of Isonergy Surfaces and Singularities of Curves
Milena Radnovic, Vered Rom-Kedar
It is well known that changes in the Liouville foliations of the isoenergy surfaces of an integrable system imply that the bifurcation set has singularities at the corresponding en…