Synchronization problem for time-delay recurrent neural networks*

The subject of the present paper is suggested by the studies reported in the specific literature of the neuroscience domain on the rhythmic activities in the nervous system and on the synchronization of the oscillatory responses with the external time-varying inputs. Regarding synchronization, the aim of the paper is to state conditions ensuring a “good” qualitative behavior for time-delayed recurrent neural networks with time-varying (almost) periodic forcing terms that have to be “reproduced”.