# Caustics of Poncelet Polygons and Classical Extremal Polynomials

@article{Dragovi2018CausticsOP, title={Caustics of Poncelet Polygons and Classical Extremal Polynomials}, author={Vladimir Dragovi{\'c} and Milena Radnovi{\'c}}, journal={Regular and Chaotic Dynamics}, year={2018}, volume={24}, pages={1-35} }

A comprehensive analysis of periodic trajectories of billiards within ellipses in the Euclidean plane is presented. The novelty of the approach is based on a relationship recently established by the authors between periodic billiard trajectories and extremal polynomials on the systems of d intervals on the real line and ellipsoidal billiards in d-dimensional space. Even in the planar case systematically studied in the present paper, it leads to new results in characterizing n periodic…

## 14 Citations

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