Dr. Allan R. Willms

B.Math, M.Math (Waterloo);
Ph.D. (Cornell)
Associate Professor

Dept. of Mathematics and Statistics
University of Guelph
Guelph, Ontario N1G 2W1

ph: 519-824-4120 x52736           
email:  AWillms @ uoguelph.ca

Breather depiction
Allan Willms

Everything that is incomprehensible does not cease to exist.
Blaise Pascal

The image illustrates a three-dimensional projection onto a "breathing" 2-torus of a quasi-periodic solution on an invariant 2-torus for a system of equations describing two symmetrically coupled identical oscillators. Click here to download an mp4 video.