Quantifying the parameter dependent basin of the unsafe regime of asymmetric Lévy-noise-induced critical transitions

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Date
2021
Volume
42
Issue
1
Journal Title
Title
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Publisher
Dordrecht [u.a.] : Springer
Abstract

In real systems, the unpredictable jump changes of the random environment can induce the critical transitions (CTs) between two non-adjacent states, which are more catastrophic. Taking an asymmetric Lévy-noise-induced tri-stable model with desirable, sub-desirable, and undesirable states as a prototype class of real systems, a prediction of the noise-induced CTs from the desirable state directly to the undesirable one is carried out. We first calculate the region that the current state of the given model is absorbed into the undesirable state based on the escape probability, which is named as the absorbed region. Then, a new concept of the parameter dependent basin of the unsafe regime (PDBUR) under the asymmetric Lévy noise is introduced. It is an efficient tool for approximately quantifying the ranges of the parameters, where the noise-induced CTs from the desirable state directly to the undesirable one may occur. More importantly, it may provide theoretical guidance for us to adopt some measures to avert a noise-induced catastrophic CT. © 2021, The Author(s).

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Keywords
absorbed region, asymmetric Lévy noise, critical transition (CT), escape probability, O175.13, O211.63, O29, parameter dependent basin of unsafe regime (PDBUR), tri-stable model
Citation
Ma, J., Xu, Y., Li, Y., Tian, R., Ma, S., & Kurths, J. (2021). Quantifying the parameter dependent basin of the unsafe regime of asymmetric Lévy-noise-induced critical transitions. 42(1). https://doi.org//10.1007/s10483-021-2672-8
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License
CC BY 4.0 Unported