On the Global Attractor of Delay Differential Equations with Unimodal Feedback

Eduardo Liz, Gergely Röst

We give bounds for the global attractor of the delay differential equation $x^{\prime }(t)=-\mu x(t)+f(x(t-\tau ))$, where $f$ is unimodal and has negative Schwarzian derivative. If $f$ and $\mu$ s…