Milena Radnović
Carslaw F07, 2006 NSW, Australia
School of Mathematics and Statistics, The University of Sydney
Publications:
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Dragović V., Radnović M.
Poncelet Porism in Singular Cases
2025, vol. 30, no. 4, pp. 598-611
Abstract
The celebrated Poncelet porism is usually studied for a pair of smooth conics that
are in a general position. Here we discuss Poncelet porism in the real plane — affine or projective,
when that is not the case, i. e., the conics have at least one point of tangency or at least one of
the conics is not smooth. In all such cases, we find necessary and sufficient conditions for the
existence of an $n$-gon inscribed in one of the conics and circumscribed about the other.
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Dragović V., Gasiorek S., Radnović M.
Billiard Ordered Games and Books
2022, vol. 27, no. 2, pp. 132-150
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.
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