@article{10902/38388, year = {2025}, month = {5}, url = {https://hdl.handle.net/10902/38388}, 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.}, organization = {D.P. acknowledges support by Grant No. PID2021-125543NB-I00, funded by MICIU/AEI/10.13039/501100011033 and by ERDF/EU. R.C. acknowledges financial support from the Royal Swedish Physiographic Society of Lund.}, publisher = {American Physical Society}, publisher = {Physical Review E, 2025, 111(5), L052201}, title = {Low-dimensional dynamics of globally coupled complex Riccati equations: exact firing-rate equations for spiking neurons with clustered substructure}, author = {Pazó Bueno, Diego Santiago and Cestnik, Rok}, }