36 citations · 37 across the 3 of their papers we have counts for
3 papers
nlin.PS2024★ 1 cited
Periodic solutions for a pair of delay-coupled excitable theta neurons
Carlo R. Laing, Bernd Krauskopf
We consider a pair of identical theta neurons in the excitable regime, each coupled to the other via a delayed Dirac delta function with the same delay. This simple network can sup…
nlin.AO2024
Activity patterns in ring networks of quadratic integrate-and-fire neurons with synaptic and gap junction coupling
Oleh E. Omel'chenko, Carlo R. Laing
We consider a ring network of quadratic integrate-and-fire neurons with nonlocal synaptic and gap junction coupling. The corresponding neural field model supports solutions such as…
math.DS2006★ 36 cited
Coarse-grained dynamics of an activity bump in a neural field model
C. R. Laing, T. A. Frewen, I. G. Kevrekidis
We study a stochastic nonlocal PDE, arising in the context of modelling spatially distributed neural activity, which is capable of sustaining stationary and moving spatially-locali…