Outer billiard around a curvilinear triangle with a fixed diameter
Publicacions Matematiques(2014)
摘要
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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关键词
dynamical system,planar geometry
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