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Low-dimensional dynamics of globally coupled complex Riccati equations : Exact firing-rate equations for spiking neurons with clustered substructure

Pazó, Diego and Cestnik, Rok LU (2025) In Physical Review E 111(5).
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.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E
volume
111
issue
5
article number
L052201
publisher
American Physical Society
external identifiers
  • pmid:40534073
  • scopus:105005142723
ISSN
2470-0045
DOI
10.1103/PhysRevE.111.L052201
language
English
LU publication?
yes
id
eb469800-8877-48df-97ee-66a780e805b2
date added to LUP
2025-08-04 11:23:43
date last changed
2025-08-04 11:24:01
@article{eb469800-8877-48df-97ee-66a780e805b2,
  abstract     = {{<p>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.</p>}},
  author       = {{Pazó, Diego and Cestnik, Rok}},
  issn         = {{2470-0045}},
  language     = {{eng}},
  number       = {{5}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review E}},
  title        = {{Low-dimensional dynamics of globally coupled complex Riccati equations : Exact firing-rate equations for spiking neurons with clustered substructure}},
  url          = {{http://dx.doi.org/10.1103/PhysRevE.111.L052201}},
  doi          = {{10.1103/PhysRevE.111.L052201}},
  volume       = {{111}},
  year         = {{2025}},
}