Syndetic proximality and scrambled sets
Keywords
Syndetically proximal, scrambled set, Li-Yorke chaos, entropy, transitivity, subshift, interval mapAbstract
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.Downloads
Published
2013-04-22
How to Cite
1.
MOOTHATHU, T. K. Subrahmonian and OPROCHA, Piotr. Syndetic proximality and scrambled sets. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 41, no. 2, pp. 421 - 461. [Accessed 29 March 2024].
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