Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
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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
,
Canada