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## References

**KKY**
- I. Kan, H. Koçak and J. Yorke,
*Annals of Math.*. **136**,
219 (1992).
**Han**
- K. T. Hansen, Ph.D. thesis, Univ. of Oslo, 1993.
**HC**
- K. T. Hansen and P. Cvitanovic, in preparation.

(a)

(b)

**Figure 1:** * (a) The the three regions for the map. (b) The
image of the three regions after one iteration .
*

(a)

(b)

(c)

**Figure:** * The stable and unstable manifolds of the map (1).
We see here the typical changes in the unstable manifolds as the parameter
increases. (a) ,
(b) , and (c)
*

*Kai Hansen *

Tue Nov 26 14:45:50 MET 1996