10/05/2007, 11:17 AM

Gottfried Wrote:And, if one fix-point is repelling, isn't that a consequence, that the derivative at this point must be somehow exotic, say singular? Hmm...

Not really (however note that the previous iteration formula works only for (repelling fixedpoint) otherwise you simply regularly iterate the inverse function, which has an attracting fixed point, and afterwards take again the inverse). And if you naively plot the graph you think everything is fine:

(yellow: , green: looks equal regardless at which fixed point devloped, red: )