Student Research Projects
Supervised by Bruce B. Peckham
- BJ Olsen
Master's thesis: "Bifurcations of Piecewise Continuous Functions"
Graduated: 1994.
- Jason Puckett
Master's project: "Computing Periodic Orbits"
Graduated: 1995.
- Zbigniew Wdowiak
Master's project: "Newton's and Burgstahler's Root Finding Methods"
Graduated: April, 1996.
- Colleen Frost
Master's project: "A comparison study of the SIS and SIRS Epidemic Models"
Graduated: August, 1996.
-
Jon Drexler
Master's project: "A nonanalytic perturbation of the complex quadratic map"
Graduated: August, 1996.
- Diana Colt
Master's project: "Seasonal Disruption in Elementary Models of Insect Epidemics"
Graduated: August, 1999. (Coadvised with
Harlan Stech.)
- Angela Cates
Master's project: "A Mathematical Investigation of the Decomposition of Leaf
Litter"
Graduated: March, 2000. (Coadvised with
Harlan Stech.)
- Cosmin Deciu
Master's project: "Some Aspects of Homoclinic Orbits in a Henon-like Map"
Graduated: September, 2000.
- Steve Law
Master's project: "Lyapunov Exponents"
Graduated: 2003.
- Wendy Graves
Master's project: "A comparison of Some Simple Models of Mutualism"
Graduated: September 2003.
(Coadvised with
John Pastor.)
- Laura Zimmermann
Master's project: "A Producer-Consumer Model with Stoichiometry"
Graduated: July 2006.
(Coadvised with
John Pastor.)
Download project pdf
here . (30 pages)
- Laurence Lin
Master's thesis: "A stoichiometric model of two producers and one consumer"
Graduated: June 2008. (Coadvised with
Harlan Stech,
John Pastor.)
Download thesis pdf file
here .(90 pages)
- James Polsinelli
Master's project: "Probability theory, ergodicity, and applications to dynamical systems"
Graduated: 2010.
(Coadvised with
Barry James.)
- Garrett Taft
Master's Thesis: "Chaos, Attractors, and the Lorenz Conjecture: Noninvertible transitive maps of invariant sets are sensitive"
Graduated: August 2010.
Download thesis pdf
here .
- Zbigniew Wdowiak
UROP project: "Newton's method for cubics"
1992.
- Ron Nelson
UROP project: "Computing Fractal Basin Boundaries"
1993.
- Eric Nielsen
Research Assistant project:
"Developing a GUI for a Dynanmical Systems Software Package (TBC)"
1993.
- Mircea Ungureanu
UROP project: "Nonlinear Dynamics Applied to Financial Markets"
1999.
- Tim Luthens
Research Assistant project:
"Computing the Topology of `folded' Surfaces"
1999.
- Mike Dvorak
UROP project: "Use of Dynamical Systems to Control Micoorganism Populations"
2000.
- Brian Ketelboeter
UROP project: "The Cusp bifurcation in two dimensions"
2000.
- Dan Gastler
UROP project: "The n-body problem"
2000. (coadvised with Guihua Fei)
- J P McBride
UROP project: "Dynamical Systems Software"
2006.
- Seth Slettedahl
UROP project: "The dynamics of a noninvertible 2D map"
2006.
- Jerod Lass
Honors Project: "Analysis of Traffic Circles"
2009.
- Jacob Yunker
Honors Project: "Statistical analysis for a proposed mechanism of protein-membrane interactions"
2010.
- Brett Bozyk
Honors Project: "The spine of Newton's Method for Cubics"
2010.
This page is maintained by
Bruce Peckham (bpeckham@d.umn.edu) and was last modified on
Wednesday, 24-Nov-2010 15:22:48 CST.