This lecture builds upon the end of the previous one by further investigating the remnants of saddle-node bifurcations after the fixed points disappear. The result is a "ghost" of the bifurcation that leads to the bottlenecks we studied in the previous lecture. We show that these bottlenecks should be expected near the onset of a saddle-node bifurcation, no matter what the system looks like. We demonstrate this on the normal form and on a nonuniform oscillator system.
This course is taught by Jason Bramburger for Concordia University.
More information on the instructor: https://hybrid.concordia.ca/jbrambur/
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