Další formáty:
BibTeX
LaTeX
RIS
@article{2253478,
author = {Tyc, Tomáš and Cidlinský, Darek},
article_number = {5},
doi = {http://dx.doi.org/10.1103/PhysRevE.106.054202},
keywords = {Bifurcations; Chaos; Nonlinear Dynamics},
language = {eng},
issn = {2470-0045},
journal = {Physical Review E},
title = {Spherical wedge billiard: From chaos to fractals and Talbot carpets},
url = {https://doi.org/10.1103/PhysRevE.106.054202},
volume = {106},
year = {2022}
}
TY - JOUR
ID - 2253478
AU - Tyc, Tomáš - Cidlinský, Darek
PY - 2022
TI - Spherical wedge billiard: From chaos to fractals and Talbot carpets
JF - Physical Review E
VL - 106
IS - 5
SP - 1-7
EP - 1-7
PB - American Physical Society
SN - 24700045
KW - Bifurcations
KW - Chaos
KW - Nonlinear Dynamics
UR - https://doi.org/10.1103/PhysRevE.106.054202
N2 - 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.
ER -
TYC, Tomáš a Darek CIDLINSKÝ. Spherical wedge billiard: From chaos to fractals and Talbot carpets. \textit{Physical Review E}. American Physical Society, 2022, roč.~106, č.~5, s.~1-7. ISSN~2470-0045. Dostupné z: https://dx.doi.org/10.1103/PhysRevE.106.054202.
|
