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Non-smooth dynamics in the Stommel model of the thermohaline current Griffith, Cody
Abstract
We analyzed the non-smooth dynamics for the Stommel model for thermohaline circulation with additional mechanisms like slowly varying bifurcation parameters and high frequency oscillatory forcing. Our goal was to find an analytic approximation to the tipping point and forced bifurcation induced by the new features in the model. We first analyze a simpler one component model that has similar structure to the Stommel model and gradually build in more complexity into the one component problem and study the effects on the tipping point.In this context, we compare the relative strengths of the non-smooth effects on the tipping point to the smooth effects which has been previously studied. With the one component model understood, we then apply similar methods to the Stommel model and study thee ffects on the non-smooth tipping points and forced bifurcations. With these results we have the ability to fully describe the hysteresis found in the Stommel model.
Item Metadata
Title |
Non-smooth dynamics in the Stommel model of the thermohaline current
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2018
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Description |
We analyzed the non-smooth dynamics for the Stommel model for thermohaline circulation with additional mechanisms like slowly varying bifurcation parameters and high frequency oscillatory forcing. Our goal was to find an analytic approximation to the tipping point and forced bifurcation induced by the new features in the model. We first analyze a simpler one component model that has similar structure to the Stommel model and gradually build in more complexity into the one component problem and study the effects on the tipping point.In this context, we compare the relative strengths of the non-smooth effects on the tipping point to the smooth effects which has been previously studied. With the one component model understood, we then apply similar methods to the Stommel model and study thee ffects on the non-smooth tipping points and forced bifurcations. With these results we have the ability to fully describe the hysteresis found in the Stommel model.
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Genre | |
Type | |
Language |
eng
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Date Available |
2018-08-20
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0371123
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2018-09
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Campus | |
Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International