TY  - JOUR
A1  - Laing, Carlo R.
A1  - Omel'chenko, Oleh
T1  - Moving bumps in theta neuron networks
JF  - Chaos : an interdisciplinary journal of nonlinear science
N2  - We consider large networks of theta neurons on a ring, synaptically coupled with an asymmetric kernel. Such networks support stable "bumps" of activity, which move along the ring if the coupling kernel is asymmetric. We investigate the effects of the kernel asymmetry on the existence, stability, and speed of these moving bumps using continuum equations formally describing infinite networks. Depending on the level of heterogeneity within the network, we find complex sequences of bifurcations as the amount of asymmetry is varied, in strong contrast to the behavior of a classical neural field model.
Y1  - 2020
U6  - https://doi.org/10.1063/1.5143261
SN  - 1054-1500
SN  - 1089-7682
VL  - 30
IS  - 4
PB  - American Institute of Physics
CY  - Melville
ER  -