ARE EARTHQUAKES AN EXAMPLE OF DETERMINISTIC CHAOS
ARE EARTHQUAKES AN EXAMPLE OF DETERMINISTIC CHAOS
复制标题
DOI：
10.1029/gl017i003p00223
复制
发表时间：
1990-03-01
影响因子：
5.2
通讯作者：
TURCOTTE, DL
中科院分区：
文献类型：
--
作者：
HUANG, J;TURCOTTE, DL
我们使用一个简单的质量弹簧模型来系统地研究断裂带非均质性引入的动力学行为。该模型包括两个滑块耦合到彼此和一个等速驱动器的弹性弹簧。该系统的状态可以通过两个块相对于驱动器的位置来表征。一个简单的静态/动态摩擦法。当系统是对称的，我们观察到循环行为。对于一个非对称系统，其中的分数力的两个块是不相等的，解决方案表现出确定性混沌。混沌窗口在分岔图的极限环区域之间反复出现。我们的模型行为类似于一维Logistic映射。在许多确定性混沌的例子中，一个低阶系统的混沌行为意味着类似高阶系统的混沌。因此，我们的研究结果提供了大量的证据，地震是一个例子，确定性的混乱。
We use a simple mass‐spring model to systematically examine the dynamical behavior introduced by fault zone heterogeneities. The model consists of two sliding blocks coupled to each other and to a constant velocity driver by elastic springs. The state of this system can be characterized by the positions of the two blocks relative to the driver. A simple static/dynamic friction law is used. When the system is symmetric, we observe cyclic behavior. For an asymmetric system where the fractional forces for the two blocks are not equal, the solutions exhibit deterministic chaos. Chaotic windows occur repeatedly between regions of limit cycles on bifurcation diagrams. Our model behavior is similar to that of the one‐dimensional logistic map. In many examples of deterministic chaos, chaotic behavior of a low order system implies chaos in similar higher order systems. Thus, our results provide substantial evidence that earthquakes are an example of deterministic chaos.