Graduate Students

1. BJ Olsen
   Master's thesis: "Bifurcations of Piecewise Continuous Functions"
   Graduated: 1994.
2. Jason Puckett
   Master's project: "Computing Periodic Orbits"
   Graduated: 1995.
3. Zbigniew Wdowiak
   Master's project: "Newton's and Burgstahler's Root Finding Methods"
   Graduated: April, 1996.
4. Colleen Frost
   Master's project: "A comparison study of the SIS and SIRS Epidemic Models"
   Graduated: August, 1996.
5. Jon Drexler
   Master's project: "A nonanalytic perturbation of the complex quadratic map"
   Graduated: August, 1996.
6. Diana Colt
   Master's project: "Seasonal Disruption in Elementary Models of Insect Epidemics"
   Graduated: August, 1999. (Primary advisor was Harlan Stech.)
7. Angela Cates
   Master's project: "A Mathematical Investigation of the Decomposition of Leaf Litter"
   Graduated: March, 2000. (Primary advisor was Harlan Stech.)
8. Cosmin Deciu
   Master's project: "Some Aspects of Homoclinic Orbits in a Henon-like Map"
   Graduated: September, 2000.
9. Steve Law
   Master's project: "Lyapunov Exponents"
   Graduated: 2003.
10. Wendy Graves
    Master's project: "A comparison of Some Simple Models of Mutualism"
    Graduated: September 2003. (Coadvised with John Pastor.)
11. Karl Kruppstadt
    Master's project: "Newton's Method for Cubics"
    Graduated: 2004. Download project pdf here .
12. Laura Zimmermann
    Master's project: "A Producer-Consumer Model with Stoichiometry"
    Graduated: July 2006. (Coadvised with John Pastor.)
    Download project pdf here . (30 pages)
13. 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)
14. James Polsinelli
    Master's project: "Probability theory, ergodicity, and applications to dynamical systems"
    (Coadvised with Barry James.) Graduated: 2010. Download project pdf here .
15. 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 .
16. Xinyuan "Vinnie" Zhang
    Master's Project: "Enrichment in a Producer-Consumer Model with varying rates of Stoichiometric Elimination"
    Graduated: December 2010. Download project pdf here .
17. Brett Bozyk
    Master's Thesis: "Nonanalytic Singular Continuations of Complex Analytic Dynamical Systems"
    Graduated: July 2012. Download thesis pdf here .
18. Sarah Kabes
    Master's Project: "The Transition between the Henon Map and the Complex Quadratic Map"
    Graduated: August 2012. Download project pdf here .
19. Evan Oman
    Master's Project: "Infinite Levels of Complexity in a Family of One-Dimensional Singular Dynamical Systems"
    Graduated: August 2015. Download project pdf file here .
20. Erik Peterson
    Master's Project: "An Application of Fractal Analysis and Wearable Tech to the Health of the Heart"
    Graduated: August 2015. Download project pdf file here .
21. Soleh Dib
    Master's Project: "Generalized Chimera States in Two Interacting Populations of Kuramoto Oscillators"
    Graduated: Jan. 2016. Download project pdf file here .
22. Vaclav Hasenohrl
    Master's Project: "Modeling of Ebola Control Strategies"
    (Coadvised with Harlan Stech.)
    Graduated: May 2016. Download project pdf file here .
23. Yujiong Liu
    Master's Project: "A Connection between Analytic and Nonanalytic Singular Perturbations of the Quadratic Map: A Case Study"
    Graduated: May 2017. Download project pdf file here .
24. Joseph Kell
    Master's Project: "The breakup and continuation of invariant circles"
    Graduated: December 2017. Download project pdf file here .
25. Noah Wong
    Master's Project: "Newton's method for a nonanalytic perturbation of z^2-1"
    Expected Graduation: 2020.

Undergraduate Students

1. Zbigniew Wdowiak
   UROP project: "Newton's method for cubics"
   1992.
2. Ron Nelson
   UROP project: "Computing Fractal Basin Boundaries"
   1993.
3. Eric Nielsen
   Research Assistant project: "Developing a GUI for a Dynanmical Systems Software Package (TBC)"
   1993.
4. Mircea Ungureanu
   UROP project: "Nonlinear Dynamics Applied to Financial Markets"
   1999.
5. Tim Luthens
   Research Assistant project: "Computing the Topology of `folded' Surfaces"
   1999.
6. Mike Dvorak
   UROP project: "Use of Dynamical Systems to Control Micoorganism Populations"
   2000.
7. Brian Ketelboeter
   UROP project: "The Cusp bifurcation in two dimensions"
   2000.
8. Dan Gastler
   UROP project: "The n-body problem"
   2000. (coadvised with Guihua Fei)
9. Joseph Erickson, "Dynamical Systems software development", Research Assistant project, 2003-4.
10. J P McBride
    UROP project: "Dynamical Systems Software"
    2006.
11. Seth Slettedahl
    UROP project: "The dynamics of a noninvertible 2D map"
    2006.
12. Heather Chopp
    UROP project: Harvesting in a 2-D Producer/Consumer Model
    2009
13. Jerod Lass
    Honors Project: "Analysis of Traffic Circles"
    2009.
14. Jacob Yunker
    Honors Project: "Statistical analysis for a proposed mechanism of protein-membrane interactions"
    2010.
15. Brett Bozyk
    Honors Project: "The spine of Newton's Method for Cubics"
    2010.
16. Brock Burgau
    UROP/Honors Project: "Water Treatment and Pollution in Lake Superior"
    2011.
17. Thomas Cameron
    UROP/Honors Project: "Dynamics of Newton's Method: a family of Quartic Polynomials"
    2012.
18. Jordan Maiers
    UROP/Honors Project: "Singular Perturbations of the quadratic map: z^2+c+B/zbar^2"
    Download pdf file here .
    2014.
19. Xinsheng Zhang, "The effect of hospital bed limitation on the spread of Ebola,"
    UROP and Honors Project
    May 2015. Download here .
20. Haitao Shang
    Independent Study/Honors Project: "The Dynamics of [perturbations of] quadratic maps"
    2015. Download from here.
21. Matthew Arthur
    UROP/Honors Project: "Perturbing z^2+c with a moving singularity"
    (z²+c+B/(zbar-bbar)^2)
    Download pdf file for BP-edited 2019 version here . 2015.
22. Lesheng Wang
    UROP/Honors Project: Dynamics of a Singularly perturbed quadratic family
    (z²+c+B/zbar^d with d=1 or 2) 2017. Download pdf file for BP-edited 2019 version here .
23. Patrick Andresen
    Honors Project: "Analyzing the Dynamics of z^2+0.1(t/z+(1-t)/zbar)
    2018.
24. Michael Wroblewski
    Honors project: "Perturbed Quadratic maps: Transition from annalytic to non-analytic: f(z)=z^2+0.09(t/z^3+(1-t)/zbar^3)"
    2019.
25. Blake Shoemaker
    UROP project: "Reversing the escape algorithm in the plane"
    2020. Download pdf here. Link to paper posted on UMN Digital Conservancy here .