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Dynamic analysis of earthquake phenomena by means of pseudo phase plane

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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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Authors and Affiliations

  1. Institute of Mechanical Engineering, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465, Porto, Portugal

    António M. Lopes

  2. Institute of Engineering, Polytechnic of Porto, Rua Dr. António Bernardino de Almeida, 431, 4200-072, Porto, Portugal

    J. A. Tenreiro Machado

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  1. António M. Lopes
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Correspondence to António M. Lopes.

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Lopes, A.M., Tenreiro Machado, J.A. Dynamic analysis of earthquake phenomena by means of pseudo phase plane. Nonlinear Dyn 74, 1191–1202 (2013). https://doi.org/10.1007/s11071-013-1034-1

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