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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus


IMPACT FACTOR 2016: 1.432

CiteScore 2017: 1.30

SCImago Journal Rank (SJR) 2017: 0.403
Source Normalized Impact per Paper (SNIP) 2017: 0.632

Online
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1865-7109
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Volume 48, Issue 12

Issues

F(α) Spectrum of Pruned Baker's Map

Paul Jenkins / Mark V. Daly / Daniel M. Heffernan
  • School of Physical Sciences, Dublin City University, Glasnevin, Dublin 9, Ireland / School of Theoretical Physics, Dublin Institute of Advanced Studies, Dublin 4, Ireland / Department of Mathematical Physics, St. Patrick's College, Maynooth, C. Kildare, Ireland
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Published Online: 2014-06-02 | DOI: https://doi.org/10.1515/zna-1993-1203

Abstract

We study in detail the evolution of fractal structure within a two dimensional hyperbolic baker's map with a complete set of unstable orbits. The evolution of fractal structure within the phase space of the map is related to changes in an associated Cantor set, and this evolution is studied via their corresponding /(a) spectra. Numerical calculations of unstable periodic orbits for a related baker's map, with an incomplete set of unstable orbits, is investigated and directly related to, and characterized by, a pruned Cantor set. The effect of the pruning on the associated /(a) spectrum of the baker's map is analyzed.

Keywords : Chaos; Baker's map; Cantor set; Generalized dimension; /(α) spectrum

About the article

Received: 1992-09-30

Published Online: 2014-06-02

Published in Print: 1993-12-01


Citation Information: Zeitschrift für Naturforschung A, Volume 48, Issue 12, Pages 1166–1172, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-1993-1203.

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© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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