Publications

• Closing periodic epsilon-chains in the hyperbolic plane and a theorem of Oxtoby, 1993.
   
• The dynamics of Newton's method for cubic polynomials, The College Mathematics Journal 26 (1), January 1995, 22-28.
   
• Rotation vectors for toral maps and flows: a tutorial, International Journal of Bifurcation and Chaos 5 (2) (1995), 321-348. MR 96f:58136.
   
• Directions for structurally stable flows on surfaces via rotation vectors, Topology and its Applications 66 (1) (1995), 49-66. MR 97g:58090.
   
• Iteration in first semester calculus, Electronic Proceedings of the Seventh Annual International Conference on Technology in Collegiate Mathematics, Addison-Wesley, 1995.
   
• Fractals in linear algebra, The College Mathematics Journal 27 (6) (1996), 298-304.
   
• Computer protocol and torus maps (with G.R. Hall, B. Elenbogen), Dynamics and Stability of Systems 11 (3) (1996), 239-263. MR 98e:68017.
   
• The dynamics of circle homeomorphisms: a hands-on introduction, Mathematics Magazine 72 (1) (1999), 3-13. MR2000f:37046
   
• A dynamical systems analysis of a periodic client-server network (with B. Elenbogen, G.R. Hall), International Journal of Modeling and Simulation (20) (2) (2000), 119-129.
   
• Dynamical systems and the undergraduate curriculum, Proceedings of the Twelfth Annual International Conference on Technology in Collegiate Mathematics, Burlingame, CA, November 4-7, 1999, (Addison Wesley, Reading, MA), 2000, 404-408.
   
• A new look at an old question: Is pi normal?, MAA Focus 22 (6) (2002), 6-7.
   
• A model of the activated sludge process, UMAP Journal 23 (4) (Winter 2002).
   
• A trilinear three-body problem (with G. Lodge (OC '02) and M. Kramer (OC '01)), International Journal of Bifurcation and Chaos 13 (8) (2003), 2141-2155. MR2012651 (2004j:70019)
   
• Reverse bifurcations in a unimodal queueing model, Computers & Graphics 30 (4) (2006), 650-657. (pdf file).
   
• Surprising dynamics from a simple model, Mathematics Magazine 79 (5) (2006), 327-338.
   
• Fractals in the 3-body problem via symplectic integration (with D. Hemberger OC '07), submitted.

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