Characterizing dynamical transitions by statistical complexity measures based on ordinal pattern transition networks

Min Huang, Zhongkui Sun, Reik V. Donner, Jie Zhang, Shuguang Guan, Yong Zou

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

Complex network approaches have been recently emerging as novel and complementary concepts of nonlinear time series analysis that are able to unveil many features that are hidden to more traditional analysis methods. In this work, we focus on one particular approach: the application of ordinal pattern transition networks for characterizing time series data. More specifically, we generalize a traditional statistical complexity measure (SCM) based on permutation entropy by explicitly disclosing heterogeneous frequencies of ordinal pattern transitions. To demonstrate the usefulness of these generalized SCMs, we employ them to characterize different dynamical transitions in the logistic map as a paradigmatic model system, as well as real-world time series of fluid experiments and electrocardiogram recordings. The obtained results for both artificial and experimental data demonstrate that the consideration of transition frequencies between different ordinal patterns leads to dynamically meaningful estimates of SCMs, which provide prospective tools for the analysis of observational time series.

Original languageEnglish
Article number033127
JournalChaos
Volume31
Issue number3
DOIs
StatePublished - 1 Mar 2021

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