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. 2015 Jan 12;5:2. doi: 10.1186/2190-8567-5-2

Fig. 1.

Fig. 1

Time series of the membrane potentials (Inline graphic’s) of 10 heterogeneous neurons characterized by slightly different synaptic relaxation time constants Inline graphic in Eq. (3); ω is uniformly distributed in Inline graphic and Inline graphic. a Single-cluster state where the entire network oscillates synchronously (Inline graphic). b Double-cluster state (Inline graphic), whose period is approximately twice that of the orbit in panel a, where sub-networks of four and six neurons form two synchronously oscillating clusters, with a phase lag between them. Insets are blow-ups of the region at the peak of the action potential oscillations, marked by dashed boxes. In the double-cluster state in b, the cluster which “spikes first” on one cycle (denoted by A; consisting of six neurons) “spikes second” on the following cycle (A*), giving the solution its “period-2” nature (B and B* are the same group of four neurons at different time)