J.A. Walsh, Diffusive heat transport in Budyko's energy balance
climate model with a dynamic ice line, in preparation. (I
prove a stable Jormungand climate state arises in the
Budyko-Widiasih temperatue-ice line model when assuming diffusive
meridional heat transport.)
J.A. Walsh, E. Widiasih, J. Hahn and R. McGehee, Periodic orbits
for a discontinuous vector field arising from a
conceptual model of glacial cycles, Nonlinearity29
J.A. Walsh and R. McGehee, Modeling climate dynamically, The
Mathematics Journal44 (5) (2013), 350-363. (A special
issue devoted to the Mathematics of Planet Earth.)
J. Woodard (OC '11) and J.A. Walsh, A simple charged 3-body
Journal, May 2012. URL http://www.codee.org/ref/CJ12-1801
D. Hemberger (OC '07) and J.A. Walsh, Fractals in the 3-body
problem via symplectic integration, in The Beauty of Fractals: 6
MAA Notes Series No. 76, D. Gulick and J. Scott editors, Mathematical
Association of America, Washington, D.C., 2010.
J.A. Walsh, Surprising dynamics from a simple model, Mathematics
Magazine79 (5) (2006), 327-338.
J.A. Walsh, Reverse bifurcations in a unimodal queueing model, Computers
& Graphics30 (4) (2006), 650-657.
G. Lodge (OC '02), J.A. Walsh and M. Kramer (OC '01), A trilinear
three-body problem, International Journal of Bifurcation and Chaos13 (8) (2003), 2141-2155.
J.A. Walsh, A model of the activated sludge process, UMAP
(4) (Winter 2002).
J.A. Walsh, A new look at an old question: Is pi normal?, MAA
(6) (2002), 6-7.
J.A. Walsh, 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.
J.A. Walsh, B. Elenbogen and G.R. Hall, A dynamical systems
analysis of a periodic client-server network, International Journal
and Simulation(20) (2) (2000), 119-129.
J.A. Walsh, G.R. Hall and B. Elenbogen, Computer protocol and
torus maps, Dynamics and Stability of Systems 11
J.A. Walsh, Fractals in linear algebra, The College
Mathematics Journal 27 (6) (1996), 298-304.
J.A. Walsh, Iteration in first semester calculus, Electronic
Proceedings of the Seventh Annual International Conference on
Technology in Collegiate Mathematics, Addison-Wesley, 1995.
J.A. Walsh, Directions for structurally stable flows on surfaces
rotation vectors, Topology and its Applications 66
(1) (1995), 49-66.
J.A. Walsh, Rotation vectors for toral maps and flows: a
International Journal of Bifurcation and Chaos 5 (2)
J.A. Walsh, The dynamics of Newton's method for cubic
College Mathematics Journal26 (1), January 1995, 22-28.
J.A. Walsh, 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.