Dan Slater's Article in CMJ, and X to the kth power - how do you do it?

[Paul Perry]

At 07:32 PM 28/07/98 -0700, Sean Costello  wrote:

>stage.  Slater's hypothetical module uses an x to the k function, where
>the circuit can be converted from a state variable topology to an Ueda
>Attractor by changing the value of k (for a state-variable filter, k=1;
>for the Ueda attractor, k=3).
>
>How the heck would you do this?  Is there some common circuit that
>produces an x to the k function, where k can smoothly vary (i.e. by
>non-integer values) between 1 and 4?  

well check out the old Burr-Brown application book..

but, what you need is a log convertor, a multiplier (or a pot, if you
are doing it by hand) and an exponentiator.
If you are happy with a fairly rough one without temperature compensation,
it isn't too hard.
Any book like Horowitz & Hill or Jung's Op Amp Cookbook will have the
rudiments.

good luck from paul perry melbourne australia