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Symbolic analysis for some planar piecewise linear maps

dc.contributor.authorFu, Xin-Chuen_GB
dc.contributor.authorAshwin, Peteren_GB
dc.date.accessioned2012-11-13T16:50:10Zen_GB
dc.date.accessioned2013-03-20T12:28:50Z
dc.date.issued2003en_GB
dc.description.abstractIn 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.en_GB
dc.identifier.citationVol. 9 (6), pp. 1533-1548en_GB
dc.identifier.doi10.3934/dcds.2003.9.1533en_GB
dc.identifier.urihttp://hdl.handle.net/10036/3978en_GB
dc.language.isoenen_GB
dc.publisherAmerican Institute of Mathematical Sciencesen_GB
dc.relation.urlhttp://arxiv.org/abs/nlin/0310035v1en_GB
dc.relation.urlhttp://dx.doi.org/10.3934/dcds.2003.9.1533en_GB
dc.subjectlinear map on 2-torusen_GB
dc.subjectpiecewise linearen_GB
dc.subjectpiecewise isometryen_GB
dc.subjectdiscontinuous dynamical systemen_GB
dc.subjectcodingen_GB
dc.subjectsymbolic dynamicsen_GB
dc.titleSymbolic analysis for some planar piecewise linear mapsen_GB
dc.typeArticleen_GB
dc.date.available2012-11-13T16:50:10Zen_GB
dc.date.available2013-03-20T12:28:50Z
dc.identifier.issn1078-0947en_GB
dc.descriptionCopyright © 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.2003.9.1533en_GB
dc.identifier.eissn1553-5231en_GB
dc.identifier.journalDiscrete and Continuous Dynamical Systems - Series A (DCDS-A)en_GB


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