Department of Mathematics


Title : Spike-adding mechanisms in transient bursts
Speaker: Professor Osinga
Affiliation: Auckland University
Time: 12 pm Thursday, 3 May, 2012
Location: 303-412
Abstract
Dynamical systems tools are designed to explain the asymptotic behaviour of a system, that is, what happens after transients have died out. In many applications, however, the transients play an important role and the asymptotic behaviour is of no interest. In this talk we explore how standard tools from dynamical systems can be used to analyse transient rather than asymptotic behaviour. To illustrate these ideas, we use the example of an excitable neuron model that is subject to a short current injection.


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