Period doubling and multifractals in 1-D iterative maps
type: Item
instance of: scholarly article
title: Period doubling and multifractals in 1-D iterative maps
zbMATH Open document ID: 0769.58042
DOI: 10.1016/0960-0779(92)90040-T
author: Albert C. J. Luo
author: R. P. S. Han
published in: Chaos, Solitons and Fractals
publication date: 1993-05-16T00:00:00Z
review text: In the paper, the period doubling solutions of one-dimensional iterative maps and their chaotic fractality based on a similar structure approach are discussed. The authors offer a highly accurate method to compute the period doubling bifurcation solutions of a general one-dimensional iterative map. Section two outlines the construction and analysis of the similar structure of period doubling solutions and introduces specific period doubled factors. In Section three, a discussion of the fractality of the one-dimensional map in period doubling leading to chaos is presented; and several generalized fractal dimensions are given. Section four shows an example to demonstrate the procedure.
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 166394
zbMATH Keywords: iterative maps
zbMATH Keywords: chaotic fractality
zbMATH Keywords: period doubling bifurcation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 166394