The notion of a cyclic map g:A→X is a natural generalization of a Gottlieb element in π n (X). We investigate cyclic maps from a rational homotopy theory point of view. We show a number of results for rationalized cyclic maps which generalize well-known results on the rationalized Gottlieb groups.
Lupton, Gregory and Smith, Sam, "Cyclic Maps in Rational Homotopy Theory" (2005). Mathematics Faculty Publications. 179.
The final publication is available at Springer via http://dx.doi.org/10.1007/s00209-004-0692-6