Symbolic analysis for some planar piecewise linear maps | Zendy

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Symbolic analysis for some planar piecewise linear maps

Author(s) -

Peter Ashwin,

Xinchu Fu

Publication year - 2003

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2003.9.1533

Subject(s) - symbolic dynamics , torus , piecewise linear function , planar , class (philosophy) , mathematics , piecewise , the symbolic , symbolic data analysis , pure mathematics , computer science , discrete mathematics , mathematical analysis , artificial intelligence , geometry , statistics , computer graphics (images) , psychology , psychoanalysis

Copyright Â© 2003 American Institute of Mathematical Sciences. This is the pre-print version of the article published in Discrete and Continuous Dynamical Systems - Series A (DCDS-A) Vol. 9, pp. 1533-1548, DOI: 10.3934/dcds.2003.9.1533In 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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