Symbolic analysis for some planar piecewise linear maps

Fu, Xin-Chu; Ashwin, Peter
Date: 2003
Journal
Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
Publisher
American Institute of Mathematical Sciences
Publisher DOI
https://doi.org/10.3934/dcds.2003.9.1533
Related links
http://arxiv.org/abs/nlin/0310035v1
http://dx.doi.org/10.3934/dcds.2003.9.1533
Abstract
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 ...
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.
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Mathematics and Statistics

Faculty of Environment, Science and Economy

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