HR: 0800h
AN: S21B-0574    [Abstracts]
TI: A Model for Aperiodicity in Earthquakes
AU: * Erickson, B A
EM: brittany@math.ucsb.edu
AF: Center for Complex and Nonlinear Science and Dept. of Mathematics, UC Santa Barbara, Department of Mathematics UC Santa Barbara, Santa Barbara, CA 93106,
AU: Birnir, B
EM: birnir@math.ucsb.edu
AF: Center for Complex and Nonlinear Science and Dept. of Mathematics, UC Santa Barbara, Department of Mathematics UC Santa Barbara, Santa Barbara, CA 93106,
AU: Lavallee, D
EM: daniel@crustal.ucsb.edu
AF: Institute of Crustal Studies, UC Santa Barbara, Institute of Crustal Studies UC Santa Barbara, Santa Barbara, CA 93106,
AB: Conditions under which a single oscillator model coupled with Dieterich- Ruina's rate and state dependent friction exhibits chaotic dynamics is stud- ied. Properties of spring-block models are discussed. The parameter values of the system are explored and the corresponding numerical solutions pre- sented. 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.
DE: 7200 SEISMOLOGY
DE: 7209 Earthquake dynamics (1242)
DE: 7223 Earthquake interaction, forecasting, and prediction (1217, 1242)
DE: 7290 Computational seismology
SC: Seismology [S]
MN: 2007 Fall Meeting