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

U Feudel, A Pikovsky, A Politi

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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.

Original languageEnglish
Pages (from-to)5297-5311
Number of pages15
JournalJournal of Physics A: Mathematical and General
Volume29
Issue number17
Publication statusPublished - 7 Sep 1996

Keywords

  • STRUCTURE INTERMEDIATE
  • NONCHAOTIC ATTRACTORS
  • SYSTEM

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