Outer billiard around a curvilinear triangle with a fixed diameter

• Autores: Neil Dobbs, Tomasz Nowicki, Grzegorz Swirszcz
• Localización: Publicacions matematiques, ISSN 0214-1493, Nº. Extra 0 (Proceedings of the Conference “New Trends in Dynamical Systems” held in Salou (Tarragona), Spain, 1-), 2014, págs. 179-194
• Idioma: inglés
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• Resumen

  • 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.