Fig. 8

Probability distribution of the phase difference between a pair of E-I oscillators when there is an asymmetry in the common extrinsic noise source to the excitatory and inhibitory populations. Here $N={10}^5$, $\sigma =0.01$ and other network parameters are as in Figure 2. Solid curves are based on analytical calculations, whereas black filled circles correspond to stochastic simulations of the phase-reduced Langevin equations. (a)${\chi }_E=1/8$, ${\chi }_I=7/8$ so that common stochastic drive is mainly to the inhibitory population. (b)${\chi }_E=7/8$, ${\chi }_I=1/8$ so that common stochastic drive is mainly to the excitatory population. The insets show instantaneous distributions of the oscillators on the limit cycle.