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Applied Math PhD comprehensive exam | Zhen Wang, Clustering Behavior in Neural Networks with Time DelayExport this event to calendar

Wednesday, April 23, 2014 — 10:00 AM EDT

MC 6496

Speaker

Zhen Wang, Department of Applied Mathematics, University of Waterloo

Title

Clustering Behavior in Neural Networks with Time Delay

Abstract

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 subpopulations coexist and each of
the cluster consists of fully phase synchronized oscillators.
 
In this talk, I will give a brief review of modelling of neural
networks and literature in this field, then introduce the linear
stability results about a system of N globally coupled oscillators.
Finally, an example model for six globally coupled Morris-Lecar
oscillators is presented to show how to use phase model to analyze
the stability of clustering behavior.
Location 
University of Waterloo
MC 6496

,
Canada

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