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 .