Symplectic Geometry Spectrum of the El Salvador Earthquake(2001) Signals

Abstract eng:
Earthquake records are complex, nonstationary time series. This paper uses a new method of symplectic geometry spectrum (SGS) to analyze the EI Salvador Earthquake(2001) signals. The SGS is the eigenvalues based on symplectic similar transform which is nonlinear and has measure preserving characteristic. Theoretically, the SGS method can keep the natural properties of the raw signals. In this paper, we illustrate this method to give the symplectic geometry spectrum of the original earthquake signal and its surrogate data. By comparing the symplectic geometry spectrum of the raw earthquake time series with those of the 39 sets of surrogate data, the results show that the earthquake time series is not from random but nonlinear deterministic process, even low-dimensional chaotic system.

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