I do research on numerical and theoretical methods of dynamical
systems. I have done work studying global bifurcations for one-, two,
and three-dimensional diffeomorphisms, and finite dimensional
noninvertible maps and relations. I also study differential equations
modeling pattern formation in materials science, chemistry, and
biology. This includes the process of spinodal decomposition in metal
alloys modeled by the Cahn-Hilliard equation and animal coat pattern
formation modeled by reaction-diffusion equations with Turing
instabilities. It also includes modeling and analysis in computational
neuroscience.
The Arnold Cat Map Movie
starring Marlowe the Cat (see glamour shot below). Watch the star
become very mixed up.
The Arnold Clown Map Movie
(sequel to the above) the same map, different main actor, different
embedding.
New Tangencies Form From Old
Intersections A quick dynamical flick also known as The Lambda
Lemma in Action. A narcissistic tale of a manifold becoming attracted
to itself as a result of crossing the path of another manifold. (PG-13)
The Undergraduate Research in
Computational Mathematics program is an NSF-funded CSUMS
programs. This is the first year of the program. If you are a GMU math
major interested in computation, consider applying for the program.
Perhaps not Guiness-worthy, but I was the world's first paid
electronic-only journalist. As a graduate student, I was hired by
the NSF-funded Geometry Forum (now The Math Forum), under the direction
of Eugene Klotz. (They paid my full salary with tuition and benefits.) This
is my first interview.
Evelyn's
Iteration Applet (disclaimer: it probably doesn't work anymore:
Actually it might crash your browser. But it is my only applet, so I
can't bear to remove the link... Maybe I'll write another one someday!),