基于符号表示信息测度的时间序列同步性刻画
Characterizing Synchronization in Time Series using Information Measures Extracted from Symbolic Representations
摘要：
我们提出了一种方法来表征同步的符号表示的基础上的时间序列。一个符号通过其值的排列顺序与一个数字序列相关联。将所有序列映射为符号后，得到时间序列的表示。我们提出了一个符号表示之间的转录计划来研究耦合系统的动力学。该计划使我们能够使用群论的元素，并获得信息的措施，以评估同步的程度。我们将我们的方法应用到一个原型的非线性系统，显示了丰富的耦合动力学。
英文摘要：
We present a methodology to characterize synchronization in time series based on symbolic representations. A symbol is linked to a sequence of numbers through the rank-order of its values. A representation of a time series results after mapping all sequences into symbols. We propose a transcription scheme between symbolic representations to study the dynamics of coupled systems. This scheme allows us to use elements of group theory and to derive information measures to assess the degree of synchronization. We apply our method to a prototype non-linear system which displays a rich coupled dynamics.
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