## Logit function in higher dimensions

Hi all,

I have a (possibly stupid) question. Is there a higher dimensional generalization for the logitistic function? The logistic function satisfies the differential:

P'(t)=P(t)*(1-P(t))

In the (x,y) plane the answer is simply, y= $\frac{1}{1+\exp(-x)}$

Edit: Sorry I cant find the latex error its y = 1/(1+exp(-x)).