Normal forms and Hopf bifurcation for partial differential equations with delays

The paper addresses the computation of normal forms for some Partial Functi onal Differential Equations (PFDEs) near equilibria. The analysis is based on the theory previously developed for autonomous retarded Functional Diffe rential Equations and on the existence of center (or other invariant) manif olds. As an illustration of this procedure, two examples of PFDEs where a H opf singularity occurs on the center manifold are considered.