  Noise has significant impact on nonlinear phenomena. Here we demonstrate
that, in opposition to previous assumptions, additive noise interfere with the
linear stability of scalar nonlinear systems when these are subject to time
delay. We show this by performing a recently designed time-dependent delayed
center manifold (DCM) reduction around an Hopf bifurcation in a model of
nonlinear negative feedback. Using this, we show that noise intensity must be
considered as a bifurcation parameter and thus shifts the threshold at which
emerge delay-induced rhythmic solutions.
