November  2003, 9(6): 1533-1548. doi: 10.3934/dcds.2003.9.1533

Symbolic analysis for some planar piecewise linear maps

1. 

School of Mathematical Sciences, University of Exeter, Exeter EX4 4QE, United Kingdom

2. 

Department of Mathematics, Shanghai University, Shanghai 200436, China

Received  September 2002 Revised  June 2003 Published  September 2003

In this paper a class of linear maps on the 2-torus and some planar piecewise isometries are discussed. For these discontinuous maps, by introducing codings underlying the map operations, symbolic descriptions of the dynamics and admissibility conditions for itineraries are given, and explicit expressions in terms of the codings for periodic points are presented.
Citation: Peter Ashwin, Xin-Chu Fu. Symbolic analysis for some planar piecewise linear maps. Discrete & Continuous Dynamical Systems - A, 2003, 9 (6) : 1533-1548. doi: 10.3934/dcds.2003.9.1533
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