PhD comprehensive seminar | Zhen Wang, Clustering Behavior in Neural Network with Time-Delay

A neural network is an information processing paradigm that is inspired by the way biological nervous systems, such as the brain, process information. It is composed of a large number of highly interconnected processing elements (neurons) working in unison to solve specific problems. It is well known that oscillations occur in many neural networks models, and the properties of the oscillations depend on the characteristics of the individual neurons, how the neurons are connected to each other and the presence of time delays in the connection. Cluster state is a special state of the oscillations in which multiple sub-populations coexist and each of the cluster consists of fully phase synchronized oscillators. In this talk, I will give a brief review of different works done in this field, report on my progress up to date, and propose problems for future investigation.