Periodic delay orbits and the polyfold implicit function theorem

Peter Albers, Irene Seifert

We consider differential delay equations of the form ${\partial }_{t}x(t)=X_t(x(t-\tau ))$ in ${\mathbb{R}}^n$, where $(X_t{)}_{t\in S^1}$ is a time-dependent family of smooth vector fiel…