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 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.
Citation
Neil Dobbs. Tomasz Nowicki. Grzegorz Świrszcz. "Outer billiard around a curvilinear triangle with a fixed diameter." Publ. Mat. 58 (S1) 179 - 194, 2014.
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