Dendrites and Chaos-Reference-Cited by-同舟云学术

Dendrites and Chaos

Published:2018-12-12 Issue:13 Volume:28 Page:1850158
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Drwięga Tomasz¹

Affiliation:

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

Abstract

We answer the two questions left open in [Kočan, 2012] i.e. whether there is a relation between [Formula: see text]-chaos and distributional chaos and whether there is a relation between an infinite LY-scrambled set and distributional chaos for dendrite maps. We construct a continuous self-map of a dendrite without any DC3 pairs but containing an uncountable [Formula: see text]-scrambled set. To answer the second question we construct a dendrite [Formula: see text] and a continuous dendrite map without an infinite LY-scrambled set but with DC1 pairs.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127418501584

Reference17 articles.

1. Dendrites with a closed set of end points

2. Dynamics of spacing shifts

3. Dynamics in One Dimension

4. Entropy in Dynamical Systems

5. Two results on entropy, chaos and independence in symbolic dynamics

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