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Ordinal patterns for characterization of transition to extreme events

Authors: S. Leo Kingston; Tomasz Kapitaniak; Aditi Kathpalia;

Ordinal patterns for characterization of transition to extreme events

Abstract

Ordinal patterns serve as a symbolic representation to explore the complex features of distinct nonlinear dynamical systems and real-world data. This work focuses on unveiling the effectiveness of ordinal pattern measures to illustrate the intricate processes associated with extreme events and other dynamics. We specifically illustrate three different types of large expansions: strange nonchaotic extreme events, rare events originating from chaotic motion, and hyperchaotic extreme events and their transitions. The well-known largest Lyapunov exponent method does not shows any unique features for different types of extreme events. However, the ordinal pattern-based permutation entropy measure distinguishes between extreme and non-extreme events across three different dynamic processes. The robustness of the ordinal pattern measure is also validated using noise-induced extreme events. Our investigation sheds light on uncovering the complexity of unforeseen large-amplitude events in a wide range of complex systems.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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