Renormalization of correlations and spectra of a strange non-chaotic attractor

Year: 1996

Authors: Feudel U., Pikovsky A., Politi A.

Autors Affiliation: Max-Planck-Arbeitsgruppe Nichtlineare Dynamik, Universitat Potsdam, Potsdam, Germany;
Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy;
INFM, Unità di Firenze, Italy;
INFN, Sez. di Firenze, Italy

Abstract: We study a simple nonlinear mapping with a strange nonchaotic attractor characterized by a singular continuous power spectrum. We show that the symbolic dynamics is exactly described by a language generated from a suitable inflation rule. We derive renormalization transformations for both the power spectrum and the autocorrelation function, thus obtaining a quantitative description of the scaling properties. The multifractal nature of the spectrum is also discussed.

Journal/Review: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Volume: 29(17)      Pages from: 5297  to: 5311

KeyWords: STRUCTURE INTERMEDIATE; NONCHAOTIC ATTRACTORS; SYSTEM
DOI: 10.1088/0305-4470/29/17/008

Citations: 28
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