In this article, we establish the existence and uniqueness of a global attractor, which is a (Q, ) -affine periodic solution, for generalized ordinary differential equations (abbreviated, as generalized ODEs) that satisfy a (Q, ) -affine condition. We apply this result to derive an analogue for measure differential equations that satisfy a zero-average condition and conclude by illustrating our main result with a Hopfield neural network model.
Gallegos et al. (Fri,) studied this question.