Symbolic analysis for some planar piecewise linear maps

Details Symbolic analysis for some planar piecewise linear maps Symbolic analysis for some planar piecewise linear maps

2003-10-24

arxiv.org/abs/nlin/0310035v1

Discrete and Continuous Dynamical Systems, 9 (2003) 1533-1548

Nonlinear Sciences

Chaotic Dynamics

4 Figures

Scientific paper

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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