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

  title={Renormalization of correlations and spectra of a strange non-chaotic attractor},
  author={Ulrike Feudel and Arkady Pikovsky and Antonio Politi},
  journal={Journal of Physics A},
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. 

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