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Finite-size effects on the f(α) spectrum of the period-doubling attractor

Finite-size effects on the f(α) spectrum of the period-doubling attractor Quadratic maps are used to study the spectrum of singularities of the period-doubling attractor close to and at the onset of chaos. Finite approximations of the critical orbit have observable effects on the determination of f(α) which can be predicted by using the scaling properties of the attractor. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Finite-size effects on the f(α) spectrum of the period-doubling attractor

Physical Review A , Volume 39 (5) – Mar 1, 1989
4 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1989 The American Physical Society
ISSN
1094-1622
DOI
10.1103/PhysRevA.39.2734
Publisher site
See Article on Publisher Site

Abstract

Quadratic maps are used to study the spectrum of singularities of the period-doubling attractor close to and at the onset of chaos. Finite approximations of the critical orbit have observable effects on the determination of f(α) which can be predicted by using the scaling properties of the attractor.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Mar 1, 1989

There are no references for this article.