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Titel A model for aperiodicity in earthquakes
VerfasserIn B. Erickson, B. Birnir, D. Lavallée
Medientyp Artikel
Sprache Englisch
ISSN 1023-5809
Digitales Dokument URL
Erschienen In: Nonlinear Processes in Geophysics ; 15, no. 1 ; Nr. 15, no. 1 (2008-01-07), S.1-12
Datensatznummer 250012549
Publikation (Nr.) Volltext-Dokument vorhandencopernicus.org/npg-15-1-2008.pdf
 
Zusammenfassung
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.
 
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