10/04/2007, 05:54 PM

bo198214 Wrote:However I am not sure in the moment for which area A the first case applies. Surely for each where is the upper fixed point and for all other real .

So then I simply made a fractal of it:

The more green the color is the more iterations does it take that (i.e. the slower it converges to ) and if it needs more than 10 iterations (i.e. probably it does not converge to infinity but to the lower fixed point) then the color is black. I chose , the presented rectangle is , I made it with FractalExplorer.

We see that the convergence to infinity is really chaotic.