Walker David M, Tordesillas Antoinette, Small Michael, Behringer Robert P, Tse Chi K
Department of Mathematics and Statistics, University of Melbourne, Parkville VIC 3010 Australia.
School of Mathematics and Statistics, University of Western Australia, Crawley WA 6009, Australia.
Chaos. 2014 Mar;24(1):013132. doi: 10.1063/1.4868275.
We study the stick-slip behavior of a granular bed of photoelastic disks sheared by a rough slider pulled along the surface. Time series of a proxy for granular friction are examined using complex systems methods to characterize the observed stick-slip dynamics of this laboratory fault. Nonlinear surrogate time series methods show that the stick-slip behavior appears more complex than a periodic dynamics description. Phase space embedding methods show that the dynamics can be locally captured within a four to six dimensional subspace. These slider time series also provide an experimental test for recent complex network methods. Phase space networks, constructed by connecting nearby phase space points, proved useful in capturing the key features of the dynamics. In particular, network communities could be associated to slip events and the ranking of small network subgraphs exhibited a heretofore unreported ordering.
我们研究了由沿着表面拉动的粗糙滑块剪切的光弹圆盘颗粒床的粘滑行为。使用复杂系统方法检查颗粒摩擦代理的时间序列，以表征该实验室断层中观察到的粘滑动力学。非线性替代时间序列方法表明，粘滑行为比周期性动力学描述更为复杂。相空间嵌入方法表明，动力学可以在四到六维子空间内局部捕获。这些滑块时间序列还为最近的复杂网络方法提供了实验测试。通过连接附近的相空间点构建的相空间网络，在捕获动力学的关键特征方面证明是有用的。特别是，网络群落可以与滑动事件相关联，并且小网络子图的排名呈现出迄今未报道的排序。
