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Complex dynamics in a one-block model for earthquakes

Author

Listed:
  • Montagne, Raúl
  • Vasconcelos, Giovani L.

Abstract

A two-dimensional earthquake model that consists of a single block resting upon a slowly moving rough surface and connected by two springs to rigid supports is studied. Depending on the elastic anisotropy and the friction force three generic regimes are possible: (i) pure creep; (ii) pure stick–slip motion; and (iii) a mixed regime. In all cases the long-time dynamics (fixed point, periodic orbit or chaos) is determined by the direction of the pulling velocity. The possible relevance of our findings to real faults is briefly discussed.

Suggested Citation

  • Montagne, Raúl & Vasconcelos, Giovani L., 2004. "Complex dynamics in a one-block model for earthquakes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(1), pages 178-185.
    • Handle: RePEc:eee:phsmap:v:342:y:2004:i:1:p:178-185
    DOI: 10.1016/j.physa.2004.04.076
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    Citations

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    Cited by:

    1. Pelap, F.B. & Kagho, L.Y. & Fogang, C.F., 2016. "Chaotic behavior of earthquakes induced by a nonlinear magma up flow," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 71-83.
    2. Nkomom, Théodule Nkoa & Ndzana, Fabien II & Okaly, Joseph Brizar & Mvogo, Alain, 2021. "Dynamics of nonlinear waves in a Burridge and Knopoff model for earthquake with long-range interactions, velocity-dependent and hydrodynamics friction forces," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    3. Nkomom, Théodule Nkoa & Okaly, Joseph Brizar & Mvogo, Alain, 2021. "Dynamics of modulated waves and localized energy in a Burridge and Knopoff model of earthquake with velocity-dependant and hydrodynamics friction forces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).

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