- Generating partitions for
two-dimensional hyperbolic maps
- A. Bäcker and N. Chernov
Nonlinearity 11 (1998) 79-87
- For a class of two-dimensional hyperbolic maps
(which includes certain billiard systems)
we construct finite generating partitions.
Thus trajectories of the map
can be labeled uniquely by doubly infinite symbol sequences,
where the symbols correspond to the atoms of the partition.
It is shown that the corresponding conditions
are fulfilled in the case of the cardioid billiard, the stadium billiard
(and other Bunimovich billiards),
planar dispersing and semi-dispersing billiards.
- Please refer to the above published version.
(The preprint version of this article can be obtained as
Ulm report ULM-TP/97-3
(February 1997, revised version October 1997))
Last modified: 27 October 2004, 16:21:49
Impressum, © Arnd Bäcker