Symbolic Dynamics and Markov Partitions for the Stadium Billiard
نویسنده
چکیده
We investigate the Bunimovich stadium dynamics and nd that in the limit of innnitely long stadium the symbolic dynamics is a subshift of nite type. For a stadium of nite length the Markov partitions are innnite, but the inadmissible symbol sequences can be determined exactly by means of the appropriate pruning front. We outline a construction of a sequence of nite Markov graph approximations by means of approximate pruning fronts with nite numbers of steps.
منابع مشابه
Symbolic Dynamics Ii the Stadium Billiard
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