Symbolic analysis for some planar piecewise linear maps
Chaotic Dynamics
2007-05-23 v1
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 periodic points are presented.
Cite
@article{arxiv.nlin/0310035,
title = {Symbolic analysis for some planar piecewise linear maps},
author = {Xin-Chu Fu and Peter Ashwin},
journal= {arXiv preprint arXiv:nlin/0310035},
year = {2007}
}
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