Symbolic Dynamics and Markov Partitions for the Stadium Billiard

Details Symbolic Dynamics and Markov Partitions for the Stadium Billiard Symbolic Dynamics and Markov Partitions for the Stadium Billiard

1995-02-06

arxiv.org/abs/chao-dyn/9502005v1

Nonlinear Sciences

Chaotic Dynamics

31 pages PostScript uuencoded with figures

Scientific paper

We investigate the Bunimovich stadium dynamics and find that in the limit of infinitely long stadium the symbolic dynamics is a subshift of finite type. For a stadium of finite length the Markov partitions are infinite, but the inadmissible symbol sequences can be determined exactly by means of the appropriate pruning front. We outline a construction of a sequence of finite Markov graph approximations by means of approximate pruning fronts with finite numbers of steps.

Affiliated with

Also associated with

No associations

Rating

Symbolic Dynamics and Markov Partitions for the Stadium Billiard does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symbolic Dynamics and Markov Partitions for the Stadium Billiard, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symbolic Dynamics and Markov Partitions for the Stadium Billiard will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-434266