Symbolic dynamics, entropy and complexity of the Feigenbaum map at the accumulation point
type: Item
instance of: scholarly article
title: Symbolic dynamics, entropy and complexity of the Feigenbaum map at the accumulation point
zbMATH Open document ID: 1003.37005
DOI: 10.1155/S1026022698000168
published in: Discrete Dynamics in Nature and Society
publication date: 2002-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/122332
review text: In the paper the logistic map \(f(x)=rx(1-x)\) at the Feigenbaum accumulation point \(r=3.56994567\dots\) is considered. Its symbolic dynamics is discussed and based on the special grammars investigation and the information about conditional entropies, the authors introduce and study a complexity function.
Mathematics Subject Classification ID: 37B10
Mathematics Subject Classification ID: 37E05
zbMATH DE Number: 1783031
zbMATH Keywords: Feigenbaum map
zbMATH Keywords: Shannon entropy
zbMATH Keywords: complexity
author: Werner Ebeling
author: Katja Rateitschak
reviewed by: Boris Kruglikov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1783031