Aurélie C. Lozano, Grzegorz Świrszcz, et al.
JMLR
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 construct 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.
Aurélie C. Lozano, Grzegorz Świrszcz, et al.
JMLR
Jaume Llibre, Grzegorz Świrszcz
Bulletin des Sciences Mathematiques
Tomasz Maszczyk, Grzegorz Świrszcz
Demonstratio Mathematica
David Gamarnik, Tomasz Nowicki, et al.
Ergodic Theory and Dynamical Systems