Experimental investigation on preconditioned rate induced tipping in a thermoacoustic system
Abstract Many systems found in nature are susceptible to tipping, where they can shift from one stable dynamical state to another. This shift in dynamics can be unfavorable in systems found in various fields ranging from ecology to finance. Hence, it is important to identify the factors that can lea...
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2017
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oai:doaj.org-article:93906d1f575d4e738e08486541a92fb32021-12-02T12:32:31ZExperimental investigation on preconditioned rate induced tipping in a thermoacoustic system10.1038/s41598-017-05814-y2045-2322https://doaj.org/article/93906d1f575d4e738e08486541a92fb32017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-05814-yhttps://doaj.org/toc/2045-2322Abstract Many systems found in nature are susceptible to tipping, where they can shift from one stable dynamical state to another. This shift in dynamics can be unfavorable in systems found in various fields ranging from ecology to finance. Hence, it is important to identify the factors that can lead to tipping in a physical system. Tipping can mainly be brought about by a change in parameter or due to the influence of external fluctuations. Further, the rate at which the parameter is varied also determines the final state that the system attains. Here, we show preconditioned rate induced tipping in experiments and in a theoretical model of a thermoacoustic system. We provide a specific initial condition (preconditioning) and vary the parameter at a rate higher than a critical rate to observe tipping. We find that the critical rate is a function of the initial condition. Our study is highly relevant because the parameters that dictate the asymptotic behavior of many physical systems are temporally dynamic.J. TonyS SubarnaK. S. SyamkumarG. SudhaS. AkshayE. A. GopalakrishnanE. SurovyatkinaR. I. SujithNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017) |
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Medicine R Science Q J. Tony S Subarna K. S. Syamkumar G. Sudha S. Akshay E. A. Gopalakrishnan E. Surovyatkina R. I. Sujith Experimental investigation on preconditioned rate induced tipping in a thermoacoustic system |
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Abstract Many systems found in nature are susceptible to tipping, where they can shift from one stable dynamical state to another. This shift in dynamics can be unfavorable in systems found in various fields ranging from ecology to finance. Hence, it is important to identify the factors that can lead to tipping in a physical system. Tipping can mainly be brought about by a change in parameter or due to the influence of external fluctuations. Further, the rate at which the parameter is varied also determines the final state that the system attains. Here, we show preconditioned rate induced tipping in experiments and in a theoretical model of a thermoacoustic system. We provide a specific initial condition (preconditioning) and vary the parameter at a rate higher than a critical rate to observe tipping. We find that the critical rate is a function of the initial condition. Our study is highly relevant because the parameters that dictate the asymptotic behavior of many physical systems are temporally dynamic. |
format |
article |
author |
J. Tony S Subarna K. S. Syamkumar G. Sudha S. Akshay E. A. Gopalakrishnan E. Surovyatkina R. I. Sujith |
author_facet |
J. Tony S Subarna K. S. Syamkumar G. Sudha S. Akshay E. A. Gopalakrishnan E. Surovyatkina R. I. Sujith |
author_sort |
J. Tony |
title |
Experimental investigation on preconditioned rate induced tipping in a thermoacoustic system |
title_short |
Experimental investigation on preconditioned rate induced tipping in a thermoacoustic system |
title_full |
Experimental investigation on preconditioned rate induced tipping in a thermoacoustic system |
title_fullStr |
Experimental investigation on preconditioned rate induced tipping in a thermoacoustic system |
title_full_unstemmed |
Experimental investigation on preconditioned rate induced tipping in a thermoacoustic system |
title_sort |
experimental investigation on preconditioned rate induced tipping in a thermoacoustic system |
publisher |
Nature Portfolio |
publishDate |
2017 |
url |
https://doaj.org/article/93906d1f575d4e738e08486541a92fb3 |
work_keys_str_mv |
AT jtony experimentalinvestigationonpreconditionedrateinducedtippinginathermoacousticsystem AT ssubarna experimentalinvestigationonpreconditionedrateinducedtippinginathermoacousticsystem AT kssyamkumar experimentalinvestigationonpreconditionedrateinducedtippinginathermoacousticsystem AT gsudha experimentalinvestigationonpreconditionedrateinducedtippinginathermoacousticsystem AT sakshay experimentalinvestigationonpreconditionedrateinducedtippinginathermoacousticsystem AT eagopalakrishnan experimentalinvestigationonpreconditionedrateinducedtippinginathermoacousticsystem AT esurovyatkina experimentalinvestigationonpreconditionedrateinducedtippinginathermoacousticsystem AT risujith experimentalinvestigationonpreconditionedrateinducedtippinginathermoacousticsystem |
_version_ |
1718394048850427904 |