Browsing Theses by Subject "delay differential equations"
Now showing items 1-3 of 3
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Bifurcation analysis of a system of Morris-Lecar neurons with time delayed gap junctional coupling
(University of Waterloo, 2008-08-27)We consider a system of two identical Morris-Lecar neurons coupled via electrical coupling. We focus our study on the effects that the coupling strength, γ , and the coupling time delay, τ , cause on the dynamics of the ... -
Probabilistic Properties of Delay Differential Equations
(University of Waterloo, 2004)Systems whose time evolutions are entirely deterministic can nevertheless be studied probabilistically, <em>i. e. </em> in terms of the evolution of probability distributions rather than individual trajectories. This ... -
Stability and Hopf Bifurcation Analysis of Hopfield Neural Networks with a General Distribution of Delays
(University of Waterloo, 2011-12-16)We investigate the linear stability and perform the bifurcation analysis for Hopfield neural networks with a general distribution of delays, where the neurons are identical. We start by analyzing the scalar model and show ...