Existence of stable periodic orbits in billiards close to lemon and moon billiards
arXiv:2603.00275
Abstract
It is known that at lemon and moon billiards that have a sufficiently small curvature on one of their circular arcs are hyperbolic. In this paper we show that replacing this circular arc by a more general boundary component of small curvature could produce billiard tables that admit nonlinearly stable periodic orbits.