Regensburg 2025 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 34: Nonlinear Dynamics, Synchronization, and Chaos
DY 34.5: Vortrag
Donnerstag, 20. März 2025, 12:30–12:45, H43
Shrimp structure as a test bed for ordinal pattern measures — Yong Zou1, Norbert Marwan2,3, Xiujing Han4, •Reik V. Donner2,5, and Jürgen Kurths2 — 1East China Normal University, Shanghai, China — 2Potsdam Institute for Climate Impact Research, Potsdam, Germany — 3University of Potsdam, Germany — 4Jiangsu University, Zhenjiang, China — 5Magdeburg-Stendal University of Applied Sciences, Magdeburg, Germany
Identifying complex periodic windows surrounded by chaos in the two or higher dimensional parameter space of certain dynamical systems is a challenging task for time series analysis. This holds particularly true for the case of shrimp structures, where different bifurcations occur when crossing different domain boundaries. Here we propose to use ordinal pattern transition networks (OPTN) to characterize shrimp structures. Our results demonstrate that among different ordinal characteristics, the OPTN out-link transition entropy exhibits better classification accuracy between chaotic and periodic time series than other existing measures like permutation entropy. This improved performance results from the fact that the transition behavior between ordinal patterns encodes additional dynamical information that is not captured by traditional ordinal measures that are solely based on pattern occurrence frequencies. Ultimately, the new OPTN based entropy measure also outperforms previously used measures based on recurrences in phase space.
Keywords: Time series analysis; Shrimps; Classification; Ordinal patterns