On Disruptions of Semigroups and Points Strongly Focusing Chaos

In the mathematical literature, there are various approaches to the concept of chaos, also in the local aspects. Points of chaos (connected with homoclinic points of Poincare), points of distributional chaos and points focusing entropy are known. It can be shown in [14], by using topological tools that these concepts are significantly different. In this paper we join them, considering new kind of points (strongly focusing chaos) combinig them with problem of disruptions of semigroups of functions. The paper ends with open problems.

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Publication Details

Journal
Taiwanese Journal of Mathematics
Published
2024-10-14
DOI
https://doi.org/10.11650/tjm/241003
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
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article

On Disruptions of Semigroups and Points Strongly Focusing Chaos

Ryszard J. Pawlak, Justyna Poprawa
Taiwanese Journal of Mathematics
Mathematical Dynamics and Fractals
article

On Disruptions of Semigroups and Points Strongly Focusing Chaos

Ryszard J. Pawlak, Justyna Poprawa
article en

Abstract

In the mathematical literature, there are various approaches to the concept of chaos, also in the local aspects. Points of chaos (connected with homoclinic points of Poincare), points of distributional chaos and points focusing entropy are known. It can be shown in [14], by using topological tools that these concepts are significantly different. In this paper we join them, considering new kind of points (strongly focusing chaos) combinig them with problem of disruptions of semigroups of functions. The paper ends with open problems.

Taiwanese Journal of MathematicsVol. 29(3)
University of Łódź (PL)
Openalex Percentile: Top 70%
Mathematical Dynamics and Fractals
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On Disruptions of Semigroups and Points Strongly Focusing Chaos — Ryszard J. Pawlak, Justyna Poprawa · Taiwanese Journal of Mathematics (2024) | TGRS Research Map | TGRS