Topological Methods in Nonlinear Analysis
- Topol. Methods Nonlinear Anal.
- Volume 41, Number 2 (2013), 421-461.
Syndetic proximality and scrambled sets
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.
Topol. Methods Nonlinear Anal., Volume 41, Number 2 (2013), 421-461.
First available in Project Euclid: 21 April 2016
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Moothathu, T.K. Subrahmonian; Oprocha, Piotr. Syndetic proximality and scrambled sets. Topol. Methods Nonlinear Anal. 41 (2013), no. 2, 421--461. https://projecteuclid.org/euclid.tmna/1461245487