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A Model for Aperiodicity in Earthquakes : Volume 15, Issue 1 (07/01/2008)

By Erickson, B.

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Book Id: WPLBN0003984921
Format Type: PDF Article :
File Size: Pages 12
Reproduction Date: 2015

Title: A Model for Aperiodicity in Earthquakes : Volume 15, Issue 1 (07/01/2008)  
Author: Erickson, B.
Volume: Vol. 15, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Lavallée, D., Birnir, B., & Erickson, B. (2008). A Model for Aperiodicity in Earthquakes : Volume 15, Issue 1 (07/01/2008). Retrieved from

Description: Department of Mathematics, University of California, Santa Barbara, USA. Conditions under which a single oscillator model coupled with Dieterich-Ruina's rate and state dependent friction exhibits chaotic dynamics is studied. Properties of spring-block models are discussed. The parameter values of the system are explored and the corresponding numerical solutions presented. Bifurcation analysis is performed to determine the bifurcations and stability of stationary solutions and we find that the system undergoes a Hopf bifurcation to a periodic orbit. This periodic orbit then undergoes a period doubling cascade into a strange attractor, recognized as broadband noise in the power spectrum. The implications for earthquakes are discussed.

A model for aperiodicity in earthquakes

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