Manifolds of Global Solutions of Functional Differential Equations

Abstract

This paper consider smooth invariant manifolds of global solutions of retarded Functional Differential Equations in Rn. The persistence, under small perturbations, of such manifolds where the flow is given by an Ordinary Differential Equation in Rn is studied. The novelty of the present approach lies on the use of the dynamics of the flow on the manifolds, instead of their attractivity properties.