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arXiv · 1606.03079

Phase response curves for models of earthquake fault dynamics

Igor Franović·Srđan Kostić·Matjaz Perc·Vladimir Klinshov·Vladimir Nekorkin·Jürgen Kurths
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Abstract

We systematically study effects of external perturbations on models describing earthquake fault dynamics. The latter are based on the framework of the Burridge-Knopoff spring-block system, including the cases of a simple mono-block fault, as well as the paradigmatic complex faults made up of two identical or distinct blocks. The blocks exhibit relaxation oscillations, which are representative for the stick-slip behavior typical for earthquake dynamics. Our analysis is carried out by determining the phase response curves of first and second order. For a mono-block fault, we consider the impact of a single and two successive pulse perturbations, further demonstrating how the profile of phase response curves depends on the fault parameters. For a homogeneous two-block fault, our focus is on the scenario where each of the blocks is influenced by a single pulse, whereas for heterogeneous faults, we analyze how the response of the system depends on whether the stimulus is applied to the block having a shorter or a longer oscillation period.

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Igor Franović, Srđan Kostić, Matjaz Perc, Vladimir Klinshov, Vladimir Nekorkin, Jürgen Kurths. 2016-06-09. Phase response curves for models of earthquake fault dynamics. https://doi.org/10.1063/1.4953471

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