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

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

1995-03-17

arxiv.org/abs/chao-dyn/9503005v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, uuencoded compressed postscript file

Scientific paper

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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