ArticleFrontiers in computational neuroscience2016
Bumps in Small-World Networks.
Article in Frontiers in computational neuroscience, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.
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1 citing paper in PubMed.
- Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks.PLoS computational biology · 2017Article
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Abstract
We consider a network of coupled excitatory and inhibitory theta neurons which is capable of supporting stable spatially-localized "bump" solutions. We randomly add long-range and simultaneously remove short-range connections within the network to form a small-world network and investigate the effects of this rewiring on the existence and stability of the bump solution. We consider two limits in which continuum equations can be derived; bump solutions are fixed points of these equations. We can thus use standard numerical bifurcation analysis to determine the stability of these bumps and to follow them as parameters (such as rewiring probabilities) are varied. We find that under some rewiring schemes bumps are quite robust, whereas in other schemes they can become unstable via Hopf bifurcation or even be destroyed in saddle-node bifurcations.
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