Syndetic proximality and scrambled sets
KeywordsSyndetically proximal, scrambled set, Li-Yorke chaos, entropy, transitivity, subshift, interval map
AbstractThis 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.
How to Cite
MOOTHATHU, T. K. Subrahmonian & OPROCHA, Piotr. Syndetic proximality and scrambled sets. Topological Methods in Nonlinear Analysis [online]. 22 April 2013, T. 41, nr 2, s. 421–461. [accessed 4.12.2021].
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