• DOI:10.1103/PHYSREVE.71.067103
Corpus ID: 36841993

1/f(alpha) spectra in elementary cellular automata and fractal signals.

@article{Nagler20051falphaSI,
  title={1/f(alpha) spectra in elementary cellular automata and fractal signals.},
  author={J. Nagler and J. Claussen},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2005},
  volume={71 6 Pt 2},
  pages={
          067103
        }
}

J. Nagler, J. Claussen

Published 2005

Mathematics, Medicine, Physics

Physical review. E, Statistical, nonlinear, and soft matter physics

We systematically compute the power spectra of the one-dimensional elementary cellular automata introduced by Wolfram. On the one hand our analysis reveals that one automaton displays 1/f spectra though considered as trivial, and on the other hand that various automata classified as chaotic or complex display no 1/f spectra. We model the results generalizing the recently investigated Sierpinski signal to a class of fractal signals that are tailored to produce 1/f(alpha) spectra. From the… CONTINUE READING

View on PubMed

publications.aston.ac.uk

Save to Library

Create Alert

Cite

Launch Research Feed