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Low-dimensional dynamics of globally coupled complex Riccati equations: Exact firing-rate equations for spiking
1CSIC, Universidad de Cantabria, Instituto de Física de Cantabria, (IFCA), -, 39005 Santander, Spain.
Physical Review. E
|June 19, 2025
Abstract
None:
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.
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