Phase synchronization analysis by assessment of the phase difference gradient.
Phase synchronization analysis by assessment of the phase difference gradient.
复制标题
通过评估相位差梯度进行相位同步分析。
作者：
M. Vejmelka;M. Paluš;W. Lee
相位同步是非线性动力学的一个重要现象，最近受到了科学界的广泛关注。在这项工作中，描述了一种识别相位同步历元的方法，其重点是估计实验时间序列中相滑之间的广义相位差的片段的梯度。在相位同步系统中，即使系统受到噪声污染，广义相位差的梯度也应该为零。报告了一种测试广义相位差的梯度在统计上是否不同于零的方法。该方法已通过模型系统的数值研究以及将结果与之前发布的结果进行比较而得到验证。该方法适用于在临床环境中测量的人类志愿者的心肺时间序列，并与相同数据的同步图分析进行比较。讨论了实验数据同步图分析的潜在问题。
Phase synchronization is an important phenomenon of nonlinear dynamics and has recently received much scientific attention. In this work a method for identifying phase synchronization epochs is described which focuses on estimating the gradient of segments of the generalized phase differences between phase slips in an experimental time series. In phase synchronized systems, there should be a zero gradient of the generalized phase differences even if the systems are contaminated by noise. A method which tests if the gradient of the generalized phase difference is statistically different from zero is reported. The method has been validated by numerical studies on model systems and by comparing the results to those published previously. The method is applied to cardiorespiratory time series from a human volunteer measured in clinical settings and compared to synchrogram analysis for the same data. Potential problems with synchrogram analysis of experimental data are discussed.