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

dc.bibliographicCitation.firstPage2104
dc.bibliographicCitation.issue1
dc.bibliographicCitation.journalTitleScientific Reportseng
dc.bibliographicCitation.volume13
dc.contributor.authorSwierczek-Jereczek, Jan
dc.contributor.authorRobinson, Alexander
dc.contributor.authorBlasco, Javier
dc.contributor.authorAlvarez-Solas, Jorge
dc.contributor.authorMontoya, Marisa
dc.date.accessioned2023-06-02T15:04:33Z
dc.date.available2023-06-02T15:04:33Z
dc.date.issued2023
dc.description.abstractRate-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.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/12349
dc.identifier.urihttp://dx.doi.org/10.34657/11381
dc.language.isoeng
dc.publisher[London] : Macmillan Publishers Limited, part of Springer Nature
dc.relation.doihttps://doi.org/10.1038/s41598-023-28771-1
dc.relation.essn2045-2322
dc.rights.licenseCC BY 4.0 Unported
dc.rights.urihttps://creativecommons.org/licenses/by/4.0
dc.subject.ddc500
dc.subject.ddc600
dc.titleTime-scale synchronisation of oscillatory responses can lead to non-monotonous R-tippingeng
dc.typeArticleeng
dc.typeTexteng
tib.accessRightsopenAccess
wgl.contributorPIK
wgl.subjectUmweltwissenschaftenger
wgl.subjectGeowissenschaftenger
wgl.typeZeitschriftenartikelger
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