Fig. 4

Phase locking for static synapses. a The left and right hand sides of the fixed point equation (3.11) for two identical neurons. The left hand side (black) is the response of neuron A and the right hand side is the response of neuron B at steady state. The intersection gives the fixed point. Note that the black curve is the PRC of both neurons. b The relation $f^{-1}$ between the intrinsic phase ϕ (3.2a) and the activity phase $\tilde{\varphi }$ (3.1a). c The same graph as panel a plotted as functions of the activity phase $\tilde{\varphi }$ using the transformation from ϕ to $\tilde{\varphi }$ shown in panel b. d Convergence of the iterates starting with the initial condition ${\tilde{\varphi }}_0=0.2$ is shown in a cobweb diagram. The iterates (in green) converge to the fixed point at the intersection of the graph of ${\tilde{\varphi }}_{n+1}=\Pi ({\tilde{\varphi }}_n)$ with the line ${\tilde{\varphi }}_n={\tilde{\varphi }}_{n+1}$