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Publication
Publicacions Matematiques
Conference paper
Outer billiard around a curvilinear triangle with a fixed diameter
Abstract
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 construct 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.