Strange seismic attractor? |
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| Authors: | Hugo Beltrami Jean-Claude Mareschal |
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| Institution: | (1) Present address: GEOTOP, University of Quebec, Montréal, sta. A, P.O. 8888, H3C 3P8 Montréal, Canada;(2) Present address: Department of Earth and Planetary Sciences, McGill University, 3450 University Street, H3A 2A7 Montréal, Canada;(3) Laboratoire de dynamique des systèmes géologiques, Institut de Physique du Globe, 4 Pl. Jussieu, 75252 Paris, France |
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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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| Keywords: | Earthquakes deterministic chaos attractor time series Parkfield |
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