David Gamarnik, Tomasz Nowicki, et al.
Ergodic Theory and Dynamical Systems
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.
David Gamarnik, Tomasz Nowicki, et al.
Ergodic Theory and Dynamical Systems
J. Llibre, Grzegorz Świrszcz
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Marco Martens, Tomasz Nowicki
Inventiones Mathematicae
Aurélie C. Lozano, Grzegorz Świrszcz, et al.
NeurIPS 2009