Bifurcations of Liouville Tori in Elliptical Billiards
Vladimir Dragovic, Milena Radnovic
TL;DR
This paper explores the topological structure of integrable elliptical billiard systems by constructing Fomenko graphs, providing insights into the bifurcations of Liouville tori.
Contribution
It introduces a detailed topological analysis of elliptical billiards and constructs Fomenko graphs for these systems and geodesic billiards on ellipsoids, advancing understanding of their bifurcation structures.
Findings
Fomenko graphs for elliptical billiards are constructed.
Topological bifurcation analysis of Liouville tori is provided.
Insights into integrable billiard system topology are gained.
Abstract
A detailed description of topology of integrable billiard systems is given. For elliptical billiards and geodesic billiards on ellipsoid, the corresponding Fomenko graphs are constructed.
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