A Bäcker and N Chernov 1998 Nonlinearity 11 79 doi:10.1088/0951-7715/11/1/006
A Bäcker
and N Chernov![]()
Recommended by A Kupiainen
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 labelled 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 semidispersing billiards.
37D50 Hyperbolic systems with singularities (billiards, etc.)
Issue 1 (January 1998)
Received 25 February 1997, in final form 31 October 1997
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