This talk considers a scalar delay equation from [1]. It studies the smoothness of heteroclinic connections between slowly oscillatory periodic orbits. In particular, we prove that these connecting sets are two-dimensional C1-submanifolds of the unstable set of the first periodic orbit, they are homeomorphic to the open annulus, and they admit a so-called global graph representation. Although this talk is the continuation of a previous one (entitled The unstable set of a periodic orbit for delayed positive feedback), my purpose is to give a self-contained lecture. The research was supported by the European Union and the State of Hungary, co-financed by the European Social Fund in the framework of TÁMOP-4.2.4.A/ 2-11/1-2012-0001 ‘National Excellence Program’.
[1] Krisztin, T., Vas, G., Large-amplitude periodic solutions for a differential equation with delayed positive feedback, Journal of Dynamics and Differential Equations 23 (2011) 4, 727-790.