J 2022

Spherical wedge billiard: From chaos to fractals and Talbot carpets

TYC, Tomáš and Darek CIDLINSKÝ

Basic information

Original name

Spherical wedge billiard: From chaos to fractals and Talbot carpets

Authors

TYC, Tomáš (203 Czech Republic, belonging to the institution) and Darek CIDLINSKÝ (203 Czech Republic, belonging to the institution)

Edition

Physical Review E, American Physical Society, 2022, 2470-0045

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10300 1.3 Physical sciences

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 2.400

RIV identification code

RIV/00216224:14310/22:00128579

Organization unit

Faculty of Science

DOI

UT WoS

000907201500008

Keywords in English

Bifurcations; Chaos; Nonlinear Dynamics

Tags

Tags

International impact, Reviewed
Změněno: 8/2/2023 08:55, Mgr. Marie Šípková, DiS.

Abstract

V originále

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.