Modeling climate dynamically (with R. McGehee), The College
Mathematics Journal44 (5) (2013), 350-363. (A special
issue devoted to the Mathematics of Planet Earth.)
A simple charged 3-body problem (with J. Woodard OC '11), CODEE
Journal, May 2012. URL http://www.codee.org/ref/CJ12-1801
Fractals in the 3-body problem via symplectic integration (with
D. Hemberger OC '07), in The Beauty of Fractals: 6 Different Views,
MAA Notes Series No. 76, D. Gulick and J. Scott editors, Mathematical
Association of America, Washington, D.C., 2010.
Surprising dynamics from a simple model, Mathematics Magazine79 (5) (2006), 327-338.
Reverse bifurcations in a unimodal queueing model, Computers
& Graphics30 (4) (2006), 650-657.
A trilinear three-body problem (with G. Lodge (OC '02) and M.
Kramer (OC '01)), International Journal of Bifurcation and Chaos13 (8) (2003), 2141-2155.
A model of the activated sludge process, UMAP Journal23
(4) (Winter 2002).
A new look at an old question: Is pi normal?, MAA Focus22
(6) (2002), 6-7.
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 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.
Computer protocol and torus maps (with G.R. Hall, B. Elenbogen),
Dynamics and Stability of Systems 11 (3) (1996),
Fractals in linear algebra, The College Mathematics Journal 27 (6) (1996), 298-304.
Iteration in first semester calculus, Electronic
Proceedings of the Seventh Annual International Conference on
Technology in Collegiate Mathematics, Addison-Wesley, 1995.
Directions for structurally stable flows on surfaces via
rotation vectors, Topology and its Applications 66
(1) (1995), 49-66.
Rotation vectors for toral maps and flows: a tutorial,
International Journal of Bifurcation and Chaos 5 (2)
The dynamics of Newton's method for cubic polynomials, The
College Mathematics Journal26 (1), January 1995, 22-28.
Periodic orbits for a discontinuous vector field arising from a
conceptual model of glacial cycles (with E.
Widiasih, J. Hahn, R. McGehee), submitted.
Closing periodic epsilon-chains in the hyperbolic plane and a
theorem of Oxtoby, 1993.
Dajani, K. and Kraaikamp, C., Ergodic Theory of Numbers,
The Carus Mathematical Monographs 29, Mathematical Association
of America (2002), in MAA Reviews.
Pilkey, O. and Pilkey-Jarvis, L., Useless Arithmetic: Why
Environmental Scientists Can't Predict the Future, New York:
Columbia University Press (2007), in The UMAP Journal 29
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Nillsen, R., Randomness and Recurrence in Dynamical Systems,
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American Mathematical Monthly 119 (5) (2012), 434-438.