[PDF][PDF] Billiard table as a playground for a mathematician
AB Katok - LONDON MATHEMATICAL SOCIETY …, 2006 - akatok.s3.amazonaws.com
… But the trajectory inside the billiard table can be easily reconstructed if one knows what
happens at the moments of reflection. Therefore it suffices to consider the so-called billiard map. …
happens at the moments of reflection. Therefore it suffices to consider the so-called billiard map. …
[PDF][PDF] Billiard table as a mathematician's playground
A Katok - Student colloquium lecture series, 2002 - Citeseer
… Thus, a billiard table is a testing ground where one can test methods, conjectures, questions,
arising in various fields of theory of dynamical systems. There is nothing new in using these …
arising in various fields of theory of dynamical systems. There is nothing new in using these …
On the Motion of a Ball on a Billiard Table
NJ Lennes - The American Mathematical Monthly, 1905 - Taylor & Francis
A ball, of radius r, is assumed to move in straight lines and without friction on a rectangular
billiard-table, the lengths of whose sides are a and b. Under the assumption that the angle of …
billiard-table, the lengths of whose sides are a and b. Under the assumption that the angle of …
President Adams' Billiard Table
EA Miles - New England Quarterly, 1972 - JSTOR
… Yet the controversy surrounding the President's billiard table … wasted in idleness or at the
billiard-table, a resource both for … reference to the President's billiard table as a political issue …
billiard-table, a resource both for … reference to the President's billiard table as a political issue …
Chaos on the billiard table
M Freiberger - Plus Magazine, 2014 - degruyter.com
… Krzysztof Fraczek she considered an infinite billiard table containing a lattice of rectangular
… geodesics correspond to on the original billiard table? To see this, simply reflect each square …
… geodesics correspond to on the original billiard table? To see this, simply reflect each square …
[CITATION][C] Billiard dynamics: a survey with the emphasis on open problems on billiards
EA Gutkin - Regular and chaotic dynamics, 2003 - mathnet.ru
… For obvious reasons, I will call the planar domain in question the billiard table. Its geometric
shape determines the qualitative character of the motion. Historically, three classes of …
shape determines the qualitative character of the motion. Historically, three classes of …
Billiard dynamics: An updated survey with the emphasis on open problems
E Gutkin - Chaos: An Interdisciplinary Journal of Nonlinear …, 2012 - pubs.aip.org
… For obvious reasons, we will call the planar domain in question the billiard table. Its …
Let Y ⊂ R 2 be a compact, connected billiard table. Its boundary ∂ Y is a finite union of C 1 …
Let Y ⊂ R 2 be a compact, connected billiard table. Its boundary ∂ Y is a finite union of C 1 …
Bouncing droplets on a billiard table
D Shirokoff - Chaos: An Interdisciplinary Journal of Nonlinear …, 2013 - pubs.aip.org
In a set of experiments, Couder et al. demonstrate that an oscillating fluid bed may propagate
a bouncing droplet through the guidance of the surface waves. I present a dynamical …
a bouncing droplet through the guidance of the surface waves. I present a dynamical …
Trees and flowers on a billiard table
O Paris-Romaskevich - arXiv preprint arXiv:1907.01178, 2019 - arxiv.org
In this work we completely describe the dynamics of triangle tiling billiards. In the first part of
this work, we propose a geometric approach of dynamics by introducing natural foliations …
this work, we propose a geometric approach of dynamics by introducing natural foliations …
Gutkin billiard tables in higher dimensions and rigidity
M Bialy - Nonlinearity, 2018 - iopscience.iop.org
… We shall call S a Gutkin billiard table if there exists δ ∈ (0; π/2) such that for any pair of
points p, q ∈ S the following condition is satisfied: if the angle between the vector -→pq with the …
points p, q ∈ S the following condition is satisfied: if the angle between the vector -→pq with the …