International Journal of Bifurcation and Chaos, vol. 13, no. 11 (2003) pp. 3295-3306.

Solutions to the ODE -eps^2 u'' + W'(u) = 0, W(u) = 1/4 - u^2/2 + u^4/4, u'(0) = u'(1) = 0,
using 20 Fourier Modes:

animation and still.

Figure 1. (The Triple Well Potential)

The Upside-Down Triple Well Potential.

Figure 2. (Bifurcation Diagram)

Figure 3. (Solutions)

Figure 4. (Conjectured solutions at J = 0)

Figure 5. (Adding more Modes)

Figure 6. (Error)

Preprint of the paper.

Triple Junction on the Disk (From John M. Neuberger.)

e-mail: Jim.Swift@nau.edu