Resumen de Outer billiard around a curvilinear triangle with a fixed diameter

Neil Dobbs, Tomasz Nowicki, Grzegorz Swirszcz

• We consider an outer billiard around a Reulaux triangle. We prove the existence of infinitely many periodic points accumulating at infinity. To do so we con- struct a return map from a strip into itself and we study its properties. We also show some numerical simulations which, in particular, display heteroclinic intersections and Smale's horseshoes.