ARTÍCULO

An upper limit for slow-earthquake zones: self-oscillatory behavior through the Hopf bifurcation mechanism from a spring-block model under lubricated surfaces

Castellanos-Rodríguez Valentina, Campos-Cantón E., Barboza-Gudiño J. R., and Femat R.,
Processes Geophys., 24, 419–433, 2017, https://doi.org/10.5194/npg-24-419-2017, 2017.

ABSTRACT:

The complex oscillatory behavior of a springblock model is analyzed via the Hopf bifurcation mechanism. The mathematical spring-block model includes Dieterich– Ruina’s friction law and Stribeck’s effect. The existence of self-sustained oscillations in the transition zone – where slow earthquakes are generated within the frictionally unstable region – is determined.