Symbolic analysis for some planar piecewise linear maps

Xin-Chu Fu; Peter Ashwin

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arXiv · nlin/0310035

Symbolic analysis for some planar piecewise linear maps

Xin-Chu Fu·Peter Ashwin

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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.

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Xin-Chu Fu, Peter Ashwin. 2003-10-24. Symbolic analysis for some planar piecewise linear maps. https://arxiv.org/abs/nlin/0310035

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