25 citations · 30 across the 3 of their papers we have counts for
4 papers
Heisenberg model in pseudo-Euclidean spaces II
Bozidar Jovanovic, Vladimir Jovanovic
In the review we describe a relation between the Heisenberg spin chain model on pseudospheres and light--like cones in pseudo--Eucli\-dean spaces and virtual billiards. A geometric…
Virtual billiards in pseudo-Euclidean spaces: discrete Hamiltonian and contact integrability
Bozidar Jovanovic, Vladimir Jovanovic
The aim of the paper is to unify the efforts in the study of integrable billiards within quadrics in flat and curved spaces and to explore further the interplay of symplectic and c…
Geodesic and billiard flows on quadrics in pseudo-Euclidean spaces: L-A pairs and Chasles theorem
Bozidar Jovanovic, Vladimir Jovanovic
In this article we construct L--A representations of geodesic flows on quadrics and of billiard problems within ellipsoids in the pseudo--Euclidean spaces. A geometric interpretati…
Contact flows and integrable systems
Bozidar Jovanovic, Vladimir Jovanovic
We consider Hamiltonian systems restricted to the hypersurfaces of contact type and obtain a partial version of the Arnold-Liouville theorem: the system not need to be integrable o…