*f(x)= x + w + epsilon/(2 Pi) sin( 2 Pi x)
*

The set of points for which *f(x)-x=0* are the fixed points
for this mapping. The set of points for which
*f(x)-x = f'(x)-1 = 0* are called points of saddle-node bifurcation.
The set of parameter values leading to fixed points is called the resonance
region for the map. See Chapter 6 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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