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An Upper Bound on Topological Entropy of the Bunimovich Stadium Billiard Map
We show that the topological entropy of the billiard map in a Bunimovich stadium is at most log(3.4908).
Mathematics
- 2023 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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Does a billiard orbit determine its (polygonal) table?
We introduce a new equivalence relation on the set of all polygonal billiards. We say that two billiards (or polygons) are order equivalent if each of the billiards has an orbit whose footpoints are dense in the boundary an...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Spherical wedge billiard: From chaos to fractals and Talbot carpets
of the billiard mapping. We also analyze in detail the regular regime when phase space diagramWe introduce the spherical wedge billiard, a dynamical system consisting. We derive the analytic form of the corresponding Poinc...
Physical sciences
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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TOPOLOGICALLY WEAKLY MIXING POLYGONAL BILLIARDS
We show that in a typical polygon the billiard map as well as its associated subshift obtained by coding orbits by the sequence of sides they visit are topologically weakly mixing....
Applied mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Whispering gallery modes in open quantum billiards
The poles of the S matrix and the wave functions of open two-dimensional quantum billiards with convex boundary of different shape are calculated by using the method of complex scaling......
BE - Teoretická fyzika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Approximations by Graphs and Emergence of Global Structures
We study approximations of billiard systems by lattice graphs. It is demonstrated that under natural assumptions the graph wave functions approximate solutions of the Schrödinger equation with energy rescaled by the billiard dimensi...
BE - Teoretická fyzika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Conductance of open quantum billiards and classical trajectories.
We analyze the transport phenomena of two-dimensional quantum billiards with convex boundary of different shape.
BE - Teoretická fyzika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Homotopical rigidity of polygonal billiards
Consider two k-gons P and Q. We say that the billiard flows in P and Q are homotopically equivalent if the set of conjugacy classes in the fundamental group of P, viewed as a punctured sphere, which contain a periodic billiard orbit...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Approximations by graphs and emergence of global structures
We study approximations of billiard systems by lattice graphs., It is demonstrated that under natural assumptions the graph wave functions approximate solutions of the Schrodinger equation with energy rescaled by the billiard dimens...
BE - Teoretická fyzika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Code and Order in Polygonal Billiards
Two polygons P. Q are code equivalent if there are billiard orbits u, v which hit the same sequence of sides and such that the projections of the orbits are dense in the boundaries partial derivative P partial derivative Q. Our main results ...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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