Recurrence of Transitive Points in Dynamical Systems with the Specification Property
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-018-7534-7
Abstract: Let T: X → X be a continuous map of a compact metric space X. A point x ∈ X is called Banach recurrent point if for all neighborhood V of x, {n ∈ ℕ:… read more here.
Keywords: specification property; transitive points; point; banach recurrent ... See more keywords
Specification property for step skew products
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DOI: 10.1016/j.jmaa.2021.125112
Abstract: Abstract Step skew products with interval fibres and a subshift as a base are considered. It is proved that if the fibre maps are continuous, piecewise monotone, expanding and surjective and the subshift has the… read more here.
Keywords: skew products; specification property; step skew;
Sensitivity and specification property of fuzzified dynamical systems
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DOI: 10.1142/s0217984918502688
Abstract: The main purpose of this paper is to further explore the complexity of fuzzified dynamical systems. Especially, we study several kinds of specification properties of Zadeh’s extension. Among other things, we discuss the “stronger” sensitivity… read more here.
Keywords: sensitivity specification; fuzzified dynamical; specification property; dynamical systems ... See more keywords