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Página principal > Artículos > Artículos publicados > Outer billiard around a curvilinear triangle with a fixed diameter |
Fecha: | 2014 |
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. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió publicada |
Materia: | Outer billiard ; Periodic orbit ; Dynamical system ; Planar geometry ; Homoclinic intersection ; Smale's horseshoe |
Publicado en: | Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 179-194, ISSN 2014-4350 |
16 p, 2.1 MB |