Metastable periodic patterns in singularly perturbed state dependent delayed equations

Xavier Pellegrin, Clodoaldo Grotta Ragazzo, Coraci Malta +1

We consider the scalar delayed differential equation $\ep\dot x(t)=-x(t)+f(x(t-r))$, where $\ep>0$, $r=r(x,\ep)$ and $f$ represents either a positive feedback $df/dx>0$ or a negati…