A note about various types of sensitivity in general semiflows

Alica Miller

United States

University of Louisville

Department of Mathematics

Submitted: 2018-04-10

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Accepted: 2018-09-01

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Published: 2018-10-04

DOI: https://doi.org/10.4995/agt.2018.9943
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Keywords:

Sensitivity, strong mixing, weak mixing, strong sensitivity, multisensitivity, syndetic sensitivity, thick sensitivity, thick syndetic sensitivity, periodic sensitivity, thick periodic sensitivity

Supporting agencies:

National Science Foundation grant DMS 1405815

Abstract:

We discuss the implications between various types of sensitivity in general semiflows (sensitivity, syndetic sensitivity, thick sensitivity, thick syndetic sensitivity, multisensitivity, periodic sensitivity, thick periodic sensitivity), including the weak mixing as a very strong type of sensitivity and the strong mixing as the strongest of all type of sensitivity.

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