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


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





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