Description
4D model describing the Ott-Antonsen reduction of infinite all-to-all
coupled QIF neurons (Theta-neurons).
Note: the original equations describe the dynamics of the Kuramoto parameter
$Z$. Using the conformal transformation $Z=(1-W^\star)/(1+W^\star)$ and $W= \pi r + i V$, we express the system dynamics in terms of two state variables $r$ and $V$ representing the average firing rate and the average membrane potential of our QIF neurons. The conductance variable and its derivative are $g$ and $q$.