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math.DS2016★ 17 cited
Stability in a scalar differential equation with multiple, distributed time delays
Sue Ann Campbell, Israel Ncube
We consider a linear scalar delay differential equation (DDE), consisting of two arbitrary distributed time delays. We formulate necessary conditions for stability of the trivial s…
math.DS2016
Phase models and clustering in networks of oscillators with delayed coupling
Sue Ann Campbell, Zhen Wang
We consider a general model for a network of oscillators with time delayed, circulant coupling. We use the theory of weakly coupled oscillators to reduce the system of delay differ…
math.DS2014★ 2 cited
Non-smooth Bifurcations of Mean Field Systems of Two-Dimensional Integrate and Fire Neurons
Wilten Nicola, Sue Ann Campbell
Mean-field systems have been recently derived that adequately predict the behaviors of large networks of coupled integrate-and-fire neurons [14]. The mean-field system for a networ…