Outer billiard around a curvilinear triangle with a fixed diameter
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, displa...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:118302 |
| Acceso en línea: | https://ddd.uab.cat/record/118302 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Extra14_10 |
| Access Level: | acceso abierto |
| Palabra clave: | Outer billiard Periodic orbit Dynamical system Planar geometry Homoclinic intersection Smale's horseshoe |
| Sumario: | 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. |
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