Articles | Volume 24, issue 3
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

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Subject: Bifurcation, dynamical systems, chaos, phase transition, nonlinear waves, pattern formation | Topic: Solid earth, continental surface, biogeochemistry
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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,, 2014.
Alvarez-Ramírez, J., Garrido, R., and Femat, R.: Control of systems with friction, Phys. Rev. E, 51, 6235,, 1995.
Amendola, A. and Dragoni, M.: Dynamics of a two-fault system with viscoelastic coupling, Nonlin. Processes Geophys., 20, 1-10,, 2013.
Andersson, S., Söderberg, A., and Björklund, S.: Friction models for sliding dry, boundary and mixed lubricated contacts, Tribol. Int., 40, 580–587, 2007.
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.