- Letter
Low-dimensional dynamics of globally coupled complex Riccati equations: Exact firing-rate equations for spiking neurons with clustered substructure
Phys. Rev. E 111, L052201 – Published 12 May, 2025
DOI: https://doi.org/10.1103/PhysRevE.111.L052201
Abstract
We report on an exact theory for ensembles of globally coupled, heterogeneous complex Riccati equations. A drastic dimensionality reduction to a few ordinary differential equations is achieved for Lorentzian heterogeneity. By applying this technique, we obtain low-dimensional firing-rate equations for populations of spiking neurons with a clustered substructure.
