Phase Models with Time Delay

When
Start: 01/30/2008 - 3:15pm
End  : 01/30/2008 - 4:35pm

Category
Colloquium

Speaker
Sue Ann Campbell (University of Waterloo, Canada)

Abstract

Coupled oscillators are ubiquitous in nature and engineering, and have been a focus of intense mathematical study for over 300 years, since Huygens noticed that two pendulum clocks hung on the same wall would begin to run in perfect synchrony. Major questions still remain unanswered, however.

In this talk we consider a network of neurons with time delayed connections where the neurons are inherently oscillatory. We show how this may be reduced to a phase model network and how the time delay enters into the reduced model. For the case of two neurons, we show how the time delay may affect the stability of the periodic solution leading to stability switching between synchronous and antiphase solutions as the delay is increased. Results for two different types of oscillators are compared.

Where
Beckman Auditorium, B126, Harvey Mudd College

Misc. Information

Coffee & cookies at 4:00pm Wine and cheese after the talk Olin B161, HMC

The dinner will be hosted by Ami Radunskaya If interested in attending, call Ext. 18715