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
Distributional chaos for operators on Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.11.005
Abstract: Abstract Four notions of distributional chaos, namely DC1, DC2, DC 2 1 2 and DC3, are studied within the framework of operators on Banach spaces. It is known that, for general dynamical systems, DC1 ⊂… read more here.
Keywords: operators banach; chaos operators; banach spaces; dc1 dc2 ... See more keywords
Distributional Chaoticity of C0-Semigroup on a Frechet Space
Sign Up to like & getrecommendations! Published in 2019 at "Symmetry"
DOI: 10.3390/sym11030345
Abstract: This paper is mainly concerned with distributional chaos and the principal measure of C 0 -semigroups on a Frechet space. New definitions of strong irregular (semi-irregular) vectors are given. It is proved that if C… read more here.
Keywords: distributional chaoticity; frechet space; chaoticity semigroup; distributional chaos ... See more keywords