Chad Higdon-Topaz, Assistant Professor of Mathematics at Macalester College will be giving a talk. See abstract and title above.
Date: Wednesday, May 8th, 2013
Time: 4:00 pm
Duration: 1 hour
Location: CMC 206
Sponsored by: Mathematics
Contact: Sue Jandro, x4360Import into your calendar program
Patterns, Swarms, and the Unreasonable Effectiveness of Mathematics
From fish schools to zebra stripes to fluid waves, the world is full of patterns that form spontaneously. I will discuss natural pattern formation from the point of view of mathematical modeling highlighting how minimal models can effectively -- and perhaps surprisingly -- describe real pattern-forming phenomena. As an extended example, I will discuss biological aggregations, which are arguably some of the most common and least understood patterns in nature. More specifically, I will present work performed with undergraduate students on modeling locust swarms with high-dimensional systems of nonlinear differential equations.