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
Chain recurrent points of monotone graph maps and CR-Pm property on local dendrites
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2018.1561881
Abstract: ABSTRACT In this paper, the set of chain recurrent points of monotone maps on graphs is investigated. A compact metric space X has the CR-Pm property provided that for each monotone self-mapping f of X,… read more here.
Keywords: recurrent points; chain recurrent; points monotone; property ... See more keywords