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  Time-scale synchronisation of oscillatory responses can lead to non-monotonous R-tipping

Swierczek-Jereczek, J., Robinson, A., Blasco, J., Alvarez-Solas, J., Montoya, M. (2023): Time-scale synchronisation of oscillatory responses can lead to non-monotonous R-tipping. - Scientific Reports, 13, 2104.
https://doi.org/10.1038/s41598-023-28771-1

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Swierczek-Jereczek, Jan1, Autor
Robinson, Alexander2, Autor              
Blasco, Javier1, Autor
Alvarez-Solas, Jorge1, Autor
Montoya, Marisa1, Autor
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, Potsdam, ou_persistent13              

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 Zusammenfassung: Rate-induced tipping (R-tipping) describes the fact that, for multistable dynamic systems, an abrupt transition can take place not only because of the forcing magnitude, but also because of the forcing rate. In the present work, we demonstrate through the case study of a piecewise-linear oscillator (PLO), that increasing the rate of forcing can make the system tip in some cases but might also prevent it from tipping in others. This counterintuitive effect is further called non-monotonous R-tipping (NMRT) and has already been observed in recent studies. We show that, in the present case, the reason for NMRT is the peak synchronisation of oscillatory responses operating on different time scales. We further illustrate that NMRT can be observed even in the presence of additive white noise of intermediate amplitude. Finally, NMRT is also observed on a van-der-Pol oscillator with an unstable limit cycle, suggesting that this effect is not limited to systems with a discontinuous right-hand side such as the PLO. This insight might be highly valuable, as the current research on tipping elements is shifting from an equilibrium to a dynamic perspective while using models of increasing complexity, in which NMRT might be observed but hard to understand.

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Sprache(n): eng - Englisch
 Datum: 2023-02-062023-02-06
 Publikationsstatus: Final veröffentlicht
 Seiten: 9
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: DOI: 10.1038/s41598-023-28771-1
PIKDOMAIN: RD1 - Earth System Analysis
Organisational keyword: RD1 - Earth System Analysis
MDB-ID: No data to archive
OATYPE: Gold Open Access
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Titel: Scientific Reports
Genre der Quelle: Zeitschrift, SCI, Scopus, p3, OA
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Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 13 Artikelnummer: 2104 Start- / Endseite: - Identifikator: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/journals2_395
Publisher: Nature