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Strange seismic attractor?

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Abstract

Different time series were constructed from the data set containing all the seismic events recorded by the Parkfield network between 1969 and 1987. These series were analyzed to determine whether there exists an attractor in the phase space of the dynamical system characterizing seismic activity and to tentatively establish its dimension. The study has yielded ambiguous results. For all the time series analyzed, the dimension of the attractor appears higher than 12 and the correlation function of the seismic time series is undistinguishable from that of a series of random numbers of the same length. The lack of difference between the scaling parameters of two series suggests that, for all practical purposes, the seismic time series cannot be discriminated from a random series.

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Beltrami, H., Mareschal, J. Strange seismic attractor?. PAGEOPH 141, 71–81 (1993). https://doi.org/10.1007/BF00876235

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Key words

  • Earthquakes
  • deterministic chaos
  • attractor
  • time series
  • Parkfield