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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：慢震区域的上限：润滑表面下弹簧块模型通过Hopf分叉机制产生的自振荡行为

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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 iL/i, 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.
机译：通过Hopf分叉机制分析了弹簧块模型的复杂振荡行为。数学弹簧块模型包括Dieterich–Ruina的摩擦定律和Stribeck效应。确定过渡区域是否存在自我维持的振动（在摩擦不稳定区域内会产生缓慢的地震）。提出该区域的上限作为地震参数和摩擦系数的函数，该参数与系统中流体的存在有关。考虑了特征长度尺度 L 的重要性，流体的含义以及外部扰动对复杂动态振荡行为以及固定解的影响。

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