English

On the circumcenters of triangular orbits in elliptic billards

Dynamical Systems 2019-07-23 v5 Algebraic Geometry Complex Variables

Abstract

On an elliptic billard, we study a complex reflexion law introduced by A. Glutsyuk in order to state that the locus of the circumcenters of triangular orbits is an ellipse.

Keywords

Cite

@article{arxiv.1807.11903,
  title  = {On the circumcenters of triangular orbits in elliptic billards},
  author = {Corentin Fierobe},
  journal= {arXiv preprint arXiv:1807.11903},
  year   = {2019}
}