The Topological Sensitivity with respect to Furstenberg Families

Tengfei Wang, Kai Jing and Jiandong Yin

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-10

Abstract:

In this work, a dynamical system means that is a topological space and is a continuous map. The aim of the article is to introduce the conceptions of topological sensitivity with respect to Furstenberg families, - topological sensitivity, and multisensitivity and present some of their basic features and sufficient conditions for a dynamical system to possess some sensitivities. Actually, it is proved that every topologically ergodic but nonminimal system is syndetically sensitive and a weakly mixing system is - thickly topologically sensitive and multisensitive under the assumption that admits some separability.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:7684072

DOI: 10.1155/2020/7684072

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