流变混沌中的Granger因果关系和交叉递归图
Granger Causality and Cross Recurrence Plots in Rheochaos
摘要：
我们的应力松弛测量蠕虫状胶束使用流变SALS（流变学+小角度光散射）设备允许同时测量的应力和散射去极化强度。后者是敏感的胶束的取向有序。为了确定应力和去极化强度时间序列之间存在因果关系的影响，我们使用了线性和非线性格兰杰因果关系的技术。我们发现，这两个时间序列之间存在着一种反馈机制，并且取向顺序对应力的因果影响比相反的影响更强。我们还研究了相空间动力学的应力和去极化强度的时间序列，使用最近开发的交叉递归图（CRPs）的技术。对角线结构的CRP的存在下，明确地证明了这两个时间序列共享相似的相空间动态。
英文摘要：
Our stress relaxation measurements on wormlike micelles using a Rheo-SALS (rheology + small angle light scattering) apparatus allow simultaneous measurements of the stress and the scattered depolarised intensity. The latter is sensitive to orientational ordering of the micelles. To determine the presence of causal influences between the stress and the depolarised intensity time series, we have used the technique of linear and nonlinear Granger causality. We find there exists a feedback mechanism between the two time series and that the orientational order has a stronger causal effect on the stress than vice versa. We have also studied the phase space dynamics of the stress and the depolarised intensity time series using the recently developed technique of cross recurrence plots (CRPs). The presence of diagonal line structures in the CRPs unambiguously proves that the two time series share similar phase space dynamics.
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