Here, the authors discuss the dynamics for a network of two neurons with negative feedback of the form
where are constants, , and are constants, and are bounded -functions with . The authors show a two-dimensional closed disk bordered by a slowly oscillating periodic orbit. A description on the dynamics of the flow restricted to this closed disk is given. This paper is related to the authors work [Existence and attraction of a phase-locked oscillation in a delayed network of two neurons (to appear)].