Abstract:
The aim of this work is to put together two novel concepts from the theory of
integrable billiards: billiard ordered games and confocal billiard books. Billiard books appeared
recently in the work of Fomenko’s school, in particular, of V.Vedyushkina. These more complex
billiard domains are obtained by gluing planar sets bounded by arcs of confocal conics along
common edges. Such domains are used in this paper to construct the configuration space for
billiard ordered games.We analyse dynamical and topological properties of the systems obtained
in that way.
References