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
Existence and Distributional Chaos of Points that are Recurrent but Not Banach Recurrent
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-022-10158-x
Abstract: It is well-known that recurrence is typical from the probabilistic perspective in the study of dynamical systems by Poincare recurrence theorem. According to the recurrent frequency (i.e., the probability of finding the orbit of an… read more here.
Keywords: periodic points; recurrent; recurrent points; recurrence ... See more keywords