Nonpersistence of Resonant Caustics in Perturbed Elliptic Billiards

  • SÔNIA PINTO-DE-CARVALHO, RAFAEL RAMÍREZ-ROS
  • Published 2011

Abstract

Caustics are curves with the property that a billiard trajectory, once tangent to it, stays tangent after every reflection at the boundary of the billiard table. When the billiard table is an ellipse, any nonsingular billiard trajectory has a caustic, which can be either a confocal ellipse or a confocal hyperbola. Resonant caustics —the ones whose tangent… (More)

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