Congratulations to the three teams tied for first place with perfect scores of 100. They are the Carleton College team CARL-B, with team members Linghao Chen, Shunji Li, and Sen Zhao; the UMNTC team Burgundy, with team members Minna Chen, Nathan Fox, and Guangcong Luo; and the UMNTC team Loons, with team members Peter Lofgren, Matthew Coudron and Xin Jin.
Newton's Clock: Chaos in the Solar System
Ivars Peterson (bio)
Director of Publication and Communications at the Mathematical Association of America
Abstract: With astronomical questions inspiring new mathematics, the remarkable insights of Johannes Kepler, Isaac Newton, and Henri Poincaré paved the way to celestial mechanics and modern notions of chaotic dynamics. The result is a new picture of a solar system less placid and predictable that its venerable clockwork image would suggest.
Many Phases of the Strogatz Dyadic Love-Hate Model
Danrun Huang (bio)
St. Cloud State University
Abstract: In addition to classical applications, this semester, I was looking for a class project that not only links the basic "dots" of a typical ODE course, but also contains room for imagination and further developments; a project in which one uses both theory and technology and that is fun even to math-apathetic students. Finally, I found the Romeo-Juliet love-hate model initiated by Steven Strogatz and a play written by McDill and Felsager. By analyzing and generalizing this model in different directions, the project has brought students many expected and unexpected benefits. People might be amazed by the students’ creativity in this project, such as how do the moons (yes, more than one), or drugs affect the relationship, and how to we design a love affair that is more chaotic than Tiger Woods’,...
Comments or corrections can be sent to the webmaster.