Jaume Llibre, Grzegorz Świrszcz
Bulletin des Sciences Mathematiques
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.
Jaume Llibre, Grzegorz Świrszcz
Bulletin des Sciences Mathematiques
Grzegorz Świrszcz
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
J. Llibre, Grzegorz Świrszcz
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
David Gamarnik, Tomasz Nowicki, et al.
Random Structures and Algorithms