Parametric Instability in Mathieu Equation in Earthquake Dynamics

  • H. Torres-Silva Escuela de Ing. Eléctrica y Electrónica, Univ. de Tarapacá, Arica
  • J. López-Bonilla ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 5,ler. Piso, Col. Lindavista
  • A. Iturri-Hinojosa ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 5,ler. Piso, Col. Lindavista
  • D. Torres Cabezas Departamento Tecnologías de Información. Dirección del Trabajo, Agustinas 1253, Of. 509. Santiago
Keywords: Mathieu equation, Earthquake dynamics, p-waves and s-waves

Abstract

We propose an study of parametric resonance between P-waves and S-waves, which can be used to describe various nonlinear phenomena qualitatively and to obtain bifurcation diagrams quantitatively. We have shown that it is a good simulation of parametric phenomena, and our results are in good agreement with theoretical predictions. In particular, it may be used to study the influence of pump P waves on the instability’s threshold and amplitude of S waves in earthquake phenomena that could be simulated with an electronic model.

The Himalayan Physics Vol. 6 & 7, April 2017 (73-75)

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Abstract
2009
PDF
581
Published
2017-10-12
How to Cite
Torres-Silva, H., López-Bonilla, J., Iturri-Hinojosa, A., & Torres Cabezas, D. (2017). Parametric Instability in Mathieu Equation in Earthquake Dynamics. Himalayan Physics, 6, 73-75. https://doi.org/10.3126/hj.v6i0.18364
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Articles