Syndetic proximality and scrambled sets
Syndetic proximality and scrambled sets
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Date
2013-07-01
Authors
Subrahmonian Moothathu, T. K.
Oprocha, Piotr
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Abstract
This paper is a systematic study about the syndetically proximal relation and the possible existence of syndetically scrambled sets for the dynamics of continuous self-maps of compact metric spaces. Especially we consider various classes of transitive subshifts, interval maps, and topologically Anosov maps. We also present many constructions and examples. © 2013 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University.
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Keywords
Entropy,
Interval map,
Li-Yorke chaos,
Scrambled set,
Subshift,
Syndetically proximal,
Transitivity
Citation
Topological Methods in Nonlinear Analysis. v.41(2)