The entropy of 'strange' billiards inside n-simplexes
Chaotic Dynamics
2016-07-08 v1 Statistical Mechanics
Mathematical Physics
Dynamical Systems
math.MP
Data Analysis, Statistics and Probability
Abstract
In the present work we investigate a new type of billiards defined inside n-simplex regions. We determine an invariant ergodic (SRB) measure of the dynamics for any dimension. In using symbolic dynamics the (KS or metric) entropy is computed and we find that the system is chaotic for all cases n > 2.
Cite
@article{arxiv.nlin/0208048,
title = {The entropy of 'strange' billiards inside n-simplexes},
author = {Thomas Schürmann and Ingo Hoffmann},
journal= {arXiv preprint arXiv:nlin/0208048},
year = {2016}
}
Comments
7 pages, 1 figures