Yes, this seems to be a bummer, true.

I'd like to see more details to be able to consider the consequences for my matrix-approach.

Concerning your example: what about a cubic transformation?

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...

I'll check it with my analytical composition of the eigenvectors. Usually I insert 2 and ln(2) as a parameter for the b=sqrt(2) problem. I can try, which terms occur, if I insert 4 = 2 ln(2) instead.

Gottfried

I'd like to see more details to be able to consider the consequences for my matrix-approach.

Concerning your example: what about a cubic transformation?

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...

I'll check it with my analytical composition of the eigenvectors. Usually I insert 2 and ln(2) as a parameter for the b=sqrt(2) problem. I can try, which terms occur, if I insert 4 = 2 ln(2) instead.

Gottfried

Gottfried Helms, Kassel