Multifractal and chaos of one dimensional maps

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

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Author(s)

  • Chaojun Luo
  • A. Y T Leung

Detail(s)

Original languageEnglish
Title of host publicationComputational Mechanics
PublisherPubl by A.A. Balkema
Pages407-412
ISBN (Print)9054100303
Publication statusPublished - 1991
Externally publishedYes

Conference

TitleProceedings of the Asian Pacific Conference on Computational Mechanics
CityHong Kong, Hong Kong
Period11 - 13 December 1991

Abstract

We present an accurate method to find the period doubling solutions of general one dimensional iterative maps. Due to the asymmetry of the bifurcation graph, period doubling factors defining the asymmetry are introduced. This additional information on the asymmetry give more accurate results than using just the usual multifractal analysis alone. Multiple period doubling leading to chaos is only straight forward extension. The fractal characteristic parameters can be calculated with high precision by means of the Feigenbaum numbers. The limiting system parameter which leads to chaos is obtained analytically by equating the two parameters at consecutive period doublings.

Citation Format(s)

Multifractal and chaos of one dimensional maps. / Luo, Chaojun; Leung, A. Y T.
Computational Mechanics. Publ by A.A. Balkema, 1991. p. 407-412.

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review