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首页> 外文期刊>Nonlinear processes in geophysics >An upper limit for slow-earthquake zones: self-oscillatory behavior through the Hopf bifurcation mechanism from a spring-block model under lubricated surfaces
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An upper limit for slow-earthquake zones: self-oscillatory behavior through the Hopf bifurcation mechanism from a spring-block model under lubricated surfaces

机译:慢性地震区的上限:通过润滑表面下的弹簧块模型的Hopf分岔机制的自振荡行为

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摘要

The complex oscillatory behavior of a spring-block 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. 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 pertur-bations in the complex dynamic oscillatory behavior, as well as in the stationary solution, are take into consideration.
机译:通过HOPF分叉机构分析弹簧块模型的复杂振荡行为。 数学弹簧块模型包括Dieterich-Ruina的摩擦法和Stribeck的效果。 确定过渡区中自持续振荡的存在 - 确定在摩擦不稳定区域内产生缓慢地震 - 提出了该区域的上限作为地震参数和摩擦系数的函数,这些参数和摩擦系数涉及系统中的流体存在。 考虑到特征长度L,流体的影响以及外部Pertur-Bations的影响,以及在复杂的动态振荡行为以及静止解决方案中的影响。

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