Dr. Allan R. Willms

B.Math, M.Math (Waterloo);

Ph.D. (Cornell)

Professor

Dept. of Mathematics and Statistics

University of Guelph

Guelph, Ontario N1G 2W1

Canada

ph: 519-824-4120 x52736

email: AWillms@uoguelph.ca

Everything that is incomprehensible does not cease to exist.

Blaise Pascal

breather2.mp4

Breather

The movie 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.