Articles | Volume 24, issue 3
https://doi.org/10.5194/npg-24-419-2017
https://doi.org/10.5194/npg-24-419-2017
Research article
 | 
04 Aug 2017
Research article |  | 04 Aug 2017

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

Valentina Castellanos-Rodríguez, Eric Campos-Cantón, Rafael Barboza-Gudiño, and Ricardo Femat

Related subject area

Subject: Bifurcation, dynamical systems, chaos, phase transition, nonlinear waves, pattern formation | Topic: Solid earth, continental surface, biogeochemistry
Experimental study of forced convection heat transport in porous media
Nicola Pastore, Claudia Cherubini, Dimitra Rapti, and Concetta I. Giasi
Nonlin. Processes Geophys., 25, 279–290, https://doi.org/10.5194/npg-25-279-2018,https://doi.org/10.5194/npg-25-279-2018, 2018
Short summary
Complex interplay between stress perturbations and viscoelastic relaxation in a two-asperity fault model
Emanuele Lorenzano and Michele Dragoni
Nonlin. Processes Geophys., 25, 251–265, https://doi.org/10.5194/npg-25-251-2018,https://doi.org/10.5194/npg-25-251-2018, 2018
Short summary
Multistable slip of a one-degree-of-freedom spring-slider model in the presence of thermal-pressurized slip-weakening friction and viscosity
Jeen-Hwa Wang
Nonlin. Processes Geophys., 24, 467–480, https://doi.org/10.5194/npg-24-467-2017,https://doi.org/10.5194/npg-24-467-2017, 2017
Short summary
Conditions for the occurrence of seismic sequences in a fault system
Michele Dragoni and Emanuele Lorenzano
Nonlin. Processes Geophys., 23, 419–433, https://doi.org/10.5194/npg-23-419-2016,https://doi.org/10.5194/npg-23-419-2016, 2016
Short summary
Stress states and moment rates of a two-asperity fault in the presence of viscoelastic relaxation
M. Dragoni and E. Lorenzano
Nonlin. Processes Geophys., 22, 349–359, https://doi.org/10.5194/npg-22-349-2015,https://doi.org/10.5194/npg-22-349-2015, 2015
Short summary

Cited articles

Abe, Y. and Kato, N.: Complex Earthquake Cycle Simulations Using a Two-Degree-of-Freedom Spring-Block Model with a Rate-and State-Friction Law, Pure Appl. Geophys., 170, 745–765, 2013.
Abe, Y. and Kato, N.: Intermittency of earthquake cycles in a model of a three-degree-of-freedom spring-block system, Nonlin. Processes Geophys., 21, 841–853, https://doi.org/10.5194/npg-21-841-2014, 2014.
Alvarez-Ramírez, J., Garrido, R., and Femat, R.: Control of systems with friction, Phys. Rev. E, 51, 6235, https://doi.org/10.1103/PhysRevE.51.6235, 1995.
Amendola, A. and Dragoni, M.: Dynamics of a two-fault system with viscoelastic coupling, Nonlin. Processes Geophys., 20, 1-10, https://doi.org/10.5194/npg-20-1-2013, 2013.
Andersson, S., Söderberg, A., and Björklund, S.: Friction models for sliding dry, boundary and mixed lubricated contacts, Tribol. Int., 40, 580–587, 2007.
Download
Short summary
A spring-block model is used to determine an upper limit of slow-earthquake zones through study of self-oscillatory behavior with the Hopf bifurcation mechanism. What is the role of fluids in the mechanism of energy dissipation? Are the variations in oscillatory behavior (in the transition zone) due to external forces? What are the limits of parameters for this to occur? The proposed limit makes a difference to oscillatory behavior. Oscillation frequency, L, and fluids are related to results.