Dynamic analysis of earthquake phenomena by means of pseudo phase plane

Abstract

This paper analyses earthquake data in the perspective of dynamical systems and its Pseudo Phase Plane representation. The seismic data is collected from the Bulletin of the International Seismological Centre. The geological events are characterised by their magnitude and geographical location and described by means of time series of sequences of Dirac impulses. Fifty groups of data series are considered, according to the Flinn-Engdahl seismic regions of Earth. For each region, Pearson's correlation coefficient is used to find the optimal time delay for reconstructing the Pseudo Phase Plane. The Pseudo Phase Plane plots are then analysed and characterised.

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“…The PSS is a technique adopted in the context of non-linear dynamics, especially useful when there is a lack of knowledge about the system [49,50]. Generally speaking, the PSS allows a dynamical system to be represented in a higher dimensional space by taking a small sample of signals representing measurements of the system time history.…”

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