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| January 27, 2015 |
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Hopf bifurcation for Welander's piecewise smooth model of ocean circulation,
Richard McGehee, School of Mathematics |
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A simple box model of ocean circulation exhibits an analog of Hopf bifurcation for discontinuous vector fields. |
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| February 3, 2015 |
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Nonlinear Sliding and its Role in Welander's Model,
Juliann Leifeld, School of Mathematics |
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I'll define nonlinear sliding, and discuss the blow up method for
determining behavior on a splitting manifold. I'll apply this method
to Welander's model to discuss the possibility of nonlinear sliding
there, and I'll end with a brief discussion of the role nonlinear
sliding might have on generalization of bifurcation phenomena and
normal forms. |
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| February 10, 2015 |
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Periodic Thresholds and Rotations of Relations,
Jonathan Hahn, School of Mathematics |
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| February 17, 2015 |
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Peatland Constraints on the Deglacial CO2 Rise from Ice Cores,
Alice Nadeau, School of Mathematics |
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I'll discuss the details of a box model I've constructed which tries to explain the effect the growth of the peatlands had on the atmosphere after the glaciers retreated. |
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| February 24, 2015 |
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Perspectives on Resilience using Stommel's Ocean Box Model,
Kate Meyer, School of Mathematics |
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Discussion of the resilience of natural systems pervades modern conversations about sustainability. Often, resilience is defined qualitatively as a system's capacity to absorb disturbance and maintain its structure and function, but metaphors to basins of attraction suggest a mathematical interpretation is possible. The Resilience Working Group of MCRN is attempting to quantify resilience in a dynamical systems framework. In this talk I'll report on several possible measures of resilience, using Stommel's ocean box model to illustrate them. |
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| March 31, 2015 |
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An Exposition of Cessi's Ocean Circulation Model,
Kate Meyer, School of Mathematics |
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| April 7, 2015 |
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Huybers' Stochastic Glacial Process and Random Circle Maps,
Jon Hahn, School of Mathematics |
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