Publication details

Spherical wedge billiard: From chaos to fractals and Talbot carpets

Authors

TYC Tomáš CIDLINSKÝ Darek

Year of publication 2022
Type Article in Periodical
Magazine / Source Physical Review E
MU Faculty or unit

Faculty of Science

Citation
Web
Doi http://dx.doi.org/10.1103/PhysRevE.106.054202
Keywords Bifurcations; Chaos; Nonlinear Dynamics
Description We introduce the spherical wedge billiard, a dynamical system consisting of a particle moving along a geodesic on a closed non-Euclidean surface of a spherical wedge. We derive the analytic form of the corresponding Poincaré map and find very complex dynamics, ranging from completely chaotic to very regular, exhibiting fractal features. Further, we show that upon changing the billiard parameter, the fixed points of the Poincaré map merge in complex ways, which has origin in the spherical aberration of the billiard mapping. We also analyze in detail the regular regime when phase space diagram is closely related to Talbot carpets.

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