Spherical wedge billiard: From chaos to fractals and Talbot carpets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00128579" target="_blank" >RIV/00216224:14310/22:00128579 - isvavai.cz</a>
Result on the web
<a href="https://arxiv.org/pdf/2209.03096.pdf" target="_blank" >https://arxiv.org/pdf/2209.03096.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.106.054202" target="_blank" >10.1103/PhysRevE.106.054202</a>

Result language
angličtina
Original language name
Spherical wedge billiard: From chaos to fractals and Talbot carpets
Original language 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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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