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
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