Tipping of thermoacoustic systems with secondary bifurcation in colored noise 
environments: Effects of rate

Zhang, Xiaoyu; Xu, Yong; Liu, Qi; Kurths, Jürgen

doi:10.1063/5.0245575

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Tipping of thermoacoustic systems with secondary bifurcation in colored noise environments: Effects of rate

Authors

Zhang, Xiaoyu
External Organizations;

Xu, Yong
External Organizations;

Liu, Qi
External Organizations;

/persons/resource/Juergen.Kurths

Kurths, Jürgen
Potsdam Institute for Climate Impact Research;

External Ressource

No external resources are shared

Fulltext (public)

There are no public fulltexts stored in PIKpublic

Supplementary Material (public)

There is no public supplementary material available

Citation

Zhang, X., Xu, Y., Liu, Q., Kurths, J. (2025): Tipping of thermoacoustic systems with secondary bifurcation in colored noise environments: Effects of rate. - Chaos, 35, 3, 033124.
https://doi.org/10.1063/5.0245575

Cite as: https://publications.pik-potsdam.de/pubman/item/item_32324

Abstract

Rate-dependent tipping that concerns the effects of the rate of parameter change on the sudden transitions has been revealed in thermoacoustic systems. However, the conventional models cannot accurately portray the intermittent oscillations observed in experiments. This study explores the tipping behaviors in a thermoacoustic system with a secondary bifurcation, simultaneously accounting for the coupling effects of rate and colored noise. Particularly, the model contains higher-order nonlinearities, which lead to the emergence of both supercritical and subcritical bifurcations. It can qualitatively reproduce the intermittent dynamics of the system. We perform a transient analysis for the system via a stochastic averaging method and explore the influence mechanisms of colored noise and rate on the tipping phenomenon. The results show that the system exhibits a tipping phenomenon from the desired state to thermoacoustic instability through the state of intermittency. Interestingly, the rate causes the delay of tipping, while its increase enlarges the amplitude of intermittent oscillations. In addition, the system changes from an abrupt tipping to a smooth tipping for large noise intensities.