69 citations · 266 across the 20 of their papers we have counts for
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On Closed Geodesics on Ellipsoids
Vladimir Dragovic, Milena Radnovic
Closed geodesic lines on an ellipsoid in d-dimensional Euclidean space are considered. Explicit algebro-geometric condition for closedness of such a geodesic is given. The obtained…
Geometry of Integrable Billiards and Pencils of Quadrics
Vladimir Dragovic, Milena Radnovic
We study the deep interplay between geometry of quadrics in d-dimensional space and the dynamics of related integrable billiard systems. Various generalizations of Poncelet theorem…
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…
Cayley-Type Conditions for Billiards within Quadrics in
Vladimir Dragovic, Milena Radnovic
The notions of reflection from outside, reflection from inside and signature of a billiard trajectory within a quadric are introduced. Cayley-type conditions for periodical traject…