289 citations · 1.2k across the 20 of their papers we have counts for
23 papers
Dynamic solutions of next generation neural field models with delays
Oleh E. Omel'chenko, Carlo R. Laing
We study networks of theta neurons arranged on a ring with delayed interactions. In the continuum limit the systems are described by next generation neural field models with delays…
Periodic solutions in next generation neural field models
Carlo R. Laing, Oleh E. Omel'chenko
We consider a next generation neural field model which describes the dynamics of a network of theta neurons on a ring. For some parameters the network supports stable time-periodic…
Explosive behaviour in networks of Winfree oscillators
Shawn Means, Carlo Laing
We consider directed networks of Winfree oscillators with power law distributed in- and out-degree distributions. Gaussian and power law distributed intrinsic frequencies are consi…
Theta neuron subject to delayed feedback: a prototypical model for self-sustained pulsing
Carlo R. Laing, Bernd Krauskopf
We consider a single theta neuron with delayed self-feedback in the form of a Dirac delta function in time. Because the dynamics of a theta neuron on its own can be solved explicit…
Chimeras with uniformly distributed heterogeneity: two coupled populations
Carlo R. Laing
Chimeras occur in networks of two coupled populations of oscillators when the oscillators in one population synchronise while those in the other are asynchronous. We consider chime…
Global and Local Reduced Models for Interacting, Heterogeneous Agents
Thomas N. Thiem, Felix P. Kemeth, Tom Bertalan +2
Large collections of coupled, heterogeneous agents can manifest complex dynamical behavior presenting difficulties for simulation and analysis. However, if the collective dynamics…