Ducks in the Ocean: Canards and Relaxation Oscillations in Large-scale Ocean Dynamics
School of Mathematics
11:15 Tuesday, March 2, 2014
305 Lind Hall
Stommel's 1961 thermohaline circulation model provides evidence that the ocean exhibits bistability. Understanding how the ocean may switch between these stable circulation states has implications for paleoclimatic events such as Dansgaard-Oeschger events. A modified version of Stommel's model is analyzed, approaching the problem from a fast/slow dynamics perspective. Because the model is only piecewise-smooth, the standard fast/slow theory is not sufficient. In addition to the analysis of the model, this talk will also discuss the new mathematical developments required to attack the problem: namely canard cycles in piecewise-smooth systems and a non-smooth bifurcation called a 'super-explosion.'
Thanks to the Institute for Mathematics and its Applications, we are able to stream most of the lectures. Go to
and click on the link: "Live Streaming from 305 Lind Hall".
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Richard McGehee, School of Mathematics, email@example.com
Department of Ecology, Evolution and Behavior, firstname.lastname@example.org
This seminar examines some of the simpler mathematical models of climate change in the recent literature. Participants are encouraged to read a paper and report on it to the other participants, but passive participation is also welcomed. Course credit can be arranged either through the School of Mathematics or the Department of Ecology, Evolution and Behavior by arrangement with the organizers.