Stabilized rapid oscillations in a delay equation: Feedback control by a small resonant delay

Bernold Fiedler, Isabelle Schneider

We study scalar delay equations $$\dot{x}(t)=\lambda f(x(t-1))+b^{-1}(x(t)+x(t-p/2))$$ with odd nonlinearity $f$, real nonzero parameters $\lambda ,b$, and two positive time delays…