Journal cover Journal topic
Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

Journal metrics

  • IF value: 1.321 IF 1.321
  • IF 5-year<br/> value: 1.636 IF 5-year
    1.636
  • SNIP value: 0.903 SNIP 0.903
  • SJR value: 0.709 SJR 0.709
  • IPP value: 1.455 IPP 1.455
  • h5-index value: 20 h5-index 20
doi:10.5194/npg-2016-60
© Author(s) 2016. This work is distributed
under the Creative Commons Attribution 3.0 License.
Research article
14 Nov 2016
Review status
This discussion paper is under review for the journal Nonlinear Processes in Geophysics (NPG).
An upper limit for slow earthquakes zone: self-oscillatory behavior through the Hopf bifurcation mechanism from a model of spring-block under lubricated surfaces
Valentina Castellanos-Rodríguez1,2, Eric Campos-Cantón2, Rafael Barboza-Gudiño1, and Ricardo Femat2 1Instituto de Geología, Universidad Autónoma de San Luis Potosí, México
2Instituto Potosino de Investigación Científica y Tecnológica A.C., San Luis Potosí, México
Abstract. The complex oscillatory behavior of a springblock model is analyzed via the Hopf bifurcation mechanism. The mathematical springblock model is generated by considering the Dieterich–Ruinas's friction law and the 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. An upper limit for this region is proposed as a function of seismic parameters and frictional coefficients which are concerned with presence of fluids in the system. The importance of the characteristic length scale L, the implications of fluids, and the effects of external perturbations in the complex dynamic oscillatory behavior as well as in the stationary solution, are take into consideration.

Citation: Castellanos-Rodríguez, V., Campos-Cantón, E., Barboza-Gudiño, R., and Femat, R.: An upper limit for slow earthquakes zone: self-oscillatory behavior through the Hopf bifurcation mechanism from a model of spring-block under lubricated surfaces, Nonlin. Processes Geophys. Discuss., doi:10.5194/npg-2016-60, in review, 2016.
Valentina Castellanos-Rodríguez et al.
Valentina Castellanos-Rodríguez et al.
Valentina Castellanos-Rodríguez et al.

Viewed

Total article views: 237 (including HTML, PDF, and XML)

HTML PDF XML Total BibTeX EndNote
168 54 15 237 5 14

Views and downloads (calculated since 14 Nov 2016)

Cumulative views and downloads (calculated since 14 Nov 2016)

Viewed (geographical distribution)

Total article views: 237 (including HTML, PDF, and XML)

Thereof 237 with geography defined and 0 with unknown origin.

Country # Views %
  • 1

Saved

Discussed

Latest update: 28 Apr 2017
Publications Copernicus
Download
Short summary
Oscillatory behavior is studied through the Hopf bifurcation mechanism. What is the role of fluids and the oscillation frequency in the mechanism of energy dissipation? Are the variations in the oscillatory behavior (in transition zone) due to external forces? What is the limit of the parameters for this to occur? The proposed limit makes the difference in the behavior, the external force only determines the type of orbits. Oscillation frequency parameter, L and fluids are associated to results.
Oscillatory behavior is studied through the Hopf bifurcation mechanism. What is the role of...
Share