Parametric Instability in Mathieu Equation in Earthquake Dynamics

Abstract

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.