*f(x)= x^3 - mu x + alpha + beta mu
*

The points for which *f(x)=0* are the equilibria
for this vector field. The set of points for which
*f(x) = f'(x) = 0* are called points of saddle-node bifurcation.
See Chapter 3 of
J. Guckenheimer and P. Holmes, *Nonlinear Oscillations,
Dynamical Systems, and Bifurcations of Vector Fields*, Springer, 1983.

Since this model has a one-dimensional domain, one or more of the parameters must be permuted into the domain before attempting to trace level sets.

Comments to: pisces@geom.umn.edu

Last modified: Sun Nov 26 16:29:03 1995

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