BASIC TOPOLOGICAL STRUCTURE OF FAST BASINS-Reference-Cited by-同舟云学术

BASIC TOPOLOGICAL STRUCTURE OF FAST BASINS

Published:2018-02 Issue:01 Volume:26 Page:1850011
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

BARNSLEY MICHAEL F.¹,LEŚNIAK KRZYSZTOF²,RYPKA MIROSLAV³

Affiliation:

1. Mathematical Sciences Institute, The Australian National University, J. Dedman Bldg 27, Union Lane, Canberra ACT 2601, Australia

2. Faculty of Mathematics and Computer Science, Nicolaus Copernicus University in Toruń, ul. Chopina 12/18, 87-100 Toruń, Poland

3. Department of Geoinformatics, Faculty of Science, Palacky University Olomouc, 17. Listopadu 50, Olomouc 771 46, Czech Republic

Abstract

We define fractal continuations and the fast basin of the IFS and investigate which properties they inherit from the attractor. Some illustrated examples are provided.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X18500111

Reference38 articles.

1. Fractal Continuation

2. MICRO AND MACRO FRACTALS GENERATED BY MULTI-VALUED DYNAMICAL SYSTEMS

3. Characterizing the Cantor bi-cube in asymptotic categories

4. Universal spaces for asymptotic dimension

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