Nonlinear Processes in Geophysics www.nonlin-processes-geophys.net 1023-5809 1607-7946 15 1 2008 10.5194/npg-15-1-2008 http://www.nonlin-processes-geophys.net/15/1/2008/ http://www.nonlin-processes-geophys.net/15/1/2008/npg-15-1-2008.html http://www.nonlin-processes-geophys.net/15/1/2008/npg-15-1-2008.pdf 1 12 2008-01-07 A model for aperiodicity in earthquakes B. Erickson brittany@math.ucsb.edu B. Birnir D. Lavallée Department of Mathematics, University of California, Santa Barbara, USA Institute of Crustal Studies, 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. 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