(09/12/2009, 08:07 AM)mike3 Wrote: Hmm. However in the emails, you mentioned the use of a "multiplier" that works similar to the derivative at the fixed point but for a cycle.

Generally the multiplier of a cycle (i.e. and ) is defined as:

.

This is equal to the multiplier of at any point of the cycle (by the chain rule).

Example n=2

. If you now plug in you get and if you plug in you get the same result .

If you would depict the tangents at the left and right fixed point in the graph before, they would be parallel.

But this approach to consider already failed.