  We study dynamical systems composed of a set of linearly coupled quadratic
maps which, if uncoupled, would be on the Feigenbaum accumulation point. For
two units we prove the existence of an infinite number of sinks for an open set
of coupling parameters. In the limit of many units a mean field analysis also
implies the stabilization in periodic orbits of, at least, a subset of the
coupled units. Possible applications in the fields of control of chaos, signal
processing through complex dynamics and as models of self-organization, are
discussed.
