Finite Intersection Property and Dynamical Compactness

Dynamical compactness with respect to a family as a new concept of chaoticity of a dynamical system was introduced and discussed in Huang et al. (J Differ Equ 260(9):6800–6827, 2016 ). In this paper we continue to investigate this notion. In particular, we prove that all dynamical systems are dynami...

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Bibliographic Details
Published in:	Journal of dynamics and differential equations Vol. 30; no. 3; pp. 1221 - 1245
Main Authors:	Huang, Wen, Khilko, Danylo, Kolyada, Sergiĭ, Peris, Alfred, Zhang, Guohua
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.09.2018 Springer Nature B.V
Subjects:	Applications of Mathematics Chaos theory Dynamical systems Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Sensitivity Dynamical topology Dynamical compactness Linear dynamics Transitive sensitivity Secondary 54H20 Multi-sensitivity 47A16 Sensitive compactness Transitive compactness Primary 37B05 Topological weak mixing Hypercyclic operator
ISSN:	1040-7294, 1572-9222
Online Access:	Get full text
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