ω-Chaos Without Infinite LY-Scrambled Set on Gehman Dendrite-Reference-Cited by-同舟云学术

ω-Chaos Without Infinite LY-Scrambled Set on Gehman Dendrite

Published:2019-05 Issue:05 Volume:29 Page:1950070
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Drwięga Tomasz¹,Oprocha Piotr¹²

Affiliation:

1. Faculty of Applied Mathematics, AGH University of Science and Technology, al. A. Mickiewicza 30, 30-059 Kraków, Poland

2. National Supercomputing Centre IT4Innovations, Division of the University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, 30. dubna 22, 70103 Ostrava, Czech Republic

Abstract

We answer the last question left open in [Kočan, 2012] which asks whether there is a relation between an infinite LY-scrambled set and [Formula: see text]-chaos for dendrite maps. We construct a continuous self-map of a dendrite without any infinite LY-scrambled set but containing an uncountable [Formula: see text]-scrambled set.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127419500706

Reference8 articles.

1. Dendrites with a closed set of end points

2. Dendrites and Chaos

3. CHAOS ON ONE-DIMENSIONAL COMPACT METRIC SPACES

4. Period Three Implies Chaos

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