A method of specification of fractal sets
type: Item
instance of: scholarly article
title: A method of specification of fractal sets
zbMATH Open document ID: 1189.28006
author: L. P. Lisovik
author: T. A. Karnaukh
published in: Cybernetics and Systems Analysis
publication date: 2009-11-24T00:00:00Z
review text: Iterated function systems and hierarchical iterated function systems are very known sources to produce fractals which are the attractors of the respective systems. An address for each point of that attractor is attached. The authors define and use \(R\)-systems as a method to generate some fractal sets. Some properties and examples of \(R\)-systems are given. The case of a bounded linear \(R\)-system is discussed (Theorems 1 and 2). In Theorems 3,4 and 5 relations between \(R\)-systems and \(R^*\)-transducers are established and proved.
reviewed by: Nicolae-Adrian Secelean
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 5637619
zbMATH Keywords: fractal
zbMATH Keywords: R-transducer
zbMATH Keywords: R-system
MaRDI profile type: Publication
full work available at URL: s10559-009-9117-1
OpenAlex ID: W2010350907
cites work: Dimensions and Measures in Infinite Iterated Function Systems
cites work: Hausdorff Dimension in Graph Directed Constructions
cites work: Finite Automata Computing Real Functions
cites work: Finite transformers for construction of fractal curves
cites work: Real functions defined by transducers
cites work: \(R^*\)-transformers and fractal curves
cites work: Operations on R-numbers
DOI: 10.1007/S10559-009-9117-1
description: scientific article; zbMATH DE number 5637619