3 citations · 3 across the 4 of their papers we have counts for
5 papers
Global asymptotics of the sixth Painlevé equation in Okamoto's space
Viktoria Heu, Nalini Joshi, Milena Radnović
We study dynamics of solutions in the initial value space of the sixth Painlevé equation as the independent variable approaches zero. Our main results describe the repeller set, sh…
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…
Asymptotic behaviour of the fifth Painlevé transcendents in the space of initial values
Nalini Joshi, Milena Radnović
We study the asymptotic behaviour of the solutions of the fifth Painlevé equation as the independent variable approaches zero and infinity in the space of initial values. We show t…
Asymptotic behaviour of the fourth Painlevé transcendents in the space of initial values
Nalini Joshi, Milena Radnović
We study the asymptotic behaviour of solutions of the fourth Pain\-levé equation as the independent variable goes to infinity in its space of (complex) initial values, which is a g…
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…