09/12/2009, 07:20 AM

(09/12/2009, 06:56 AM)bo198214 Wrote: So I would consider the regular iteration of and then just always take the half of the iteration number .

The interesting thing is that not only has the two attracting fixed points and but also a repelling fixed point in between. Which is attractive for in the range .

Graph for b=0.01 with p1=0.941482102273016 and p2=0.0130925205079953.

So why not do regular iteration at that inbetween fixed point?