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)