- Climate
modeling in differential equations,
*The UMAP Journal***36**(4) (2015), 325-363.

- On the Budyko-Sellers energy
balance climate model with ice line coupling (with C.
Rackauckas `OC 13),
*Discrete and Continuous Dynamical Systems Series B***20**(7) (2015), 2187-2216.

- A
dynamics approach to a low order climate model (with E.
Widiasih),
*Discrete and Continuous Dynamical Systems Series B***19**(1) (2014), 257-279.

- Modeling climate dynamically (with R. McGehee),
*The College Mathematics Journal***44**(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 Magazine***79**(5) (2006), 327-338.

- Reverse bifurcations in a unimodal queueing model,
*Computers & Graphics***30**(4) (2006), 650-657.

- 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.

- A model of the activated sludge process,
*UMAP Journal***23**(4) (Winter 2002).

- A new look at an old question: Is pi normal?,
*MAA Focus***22**(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.

- The dynamics of circle homeomorphisms:
a hands-on introduction,
*Mathematics Magazine***72**(1) (1999), 3-13.

- Computer protocol and torus maps (with G.R. Hall, B. Elenbogen),
*Dynamics and Stability of Systems***11**(3) (1996), 239-263.

- 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) (1995), 321-348.

- The dynamics of Newton's method for cubic polynomials,
*The College Mathematics Journal***26**(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),
*Nonlinearity*, to appear.

- 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**(1) (2008), 83-85.

- Nillsen, R.,
*Randomness and Recurrence in Dynamical Systems*, The Carus Mathematical Monographs Number 31, Mathematical Association of America, Washington, DC, in*The American Mathematical Monthly***119**(5) (2012), 434-438.

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