The entropy of ``strange'' billiards inside n-simplexes

1995/03/17 by Thomas Schürmann, Ingo Hoffmann, Schürmann, Thomas +1
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9503005

8 pages, uuencoded compressed postscript file

arxiv created 1995/03/17 · openalex publication_date 1995/03/17 · arxiv updated 2009/11/30 · openalex created_date 2024/04/11 · openalex updated_date 2026/08/01

Abstract

In the present work we investigate a new type of billiards defined inside of 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.

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