Journal
CHAOS
Volume 30, Issue 4, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.5143261
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Funding
- Deutsche Forschungsgemeinschaft [OM 99/2-1]
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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.
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