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Sparse Gamma Rhythms Arising through Clustering in Adapting Neuronal Networks

Figure 9

Eigenvalues associated with linear stability of incoherent state predict cluster number.

Plots show real part of eigenvalues Re at the critical noise amplitude at which the incoherent state destabilizes. A When the adaptation time constant is varied as , the corresponding predicted number of clusters, in the weak coupling limit, is respectively given by (23). Synaptic time constant . B When the synaptic time constant is varied as , the corresponding predicted number of clusters, in the weak coupling limit, is . Adaptation time constant . Other parameters are , , and .

Figure 9

doi: https://doi.org/10.1371/journal.pcbi.1002281.g009