Ubiquity of collective irregular dynamics in balanced networks of spiking neurons

Ekkehard Ullner; Antonio Politi; Alessandro Torcini

doi:10.1063/1.5049902

Ubiquity of collective irregular dynamics in balanced networks of spiking neurons

Ekkehard Ullner, Antonio Politi, Alessandro Torcini

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Abstract

We revisit the behavior of a prototypical model of balanced activity in networks of spiking neurons. A detailed study of an appropriate thermodynamic limit for fixed density of connections shows that, when inhibition prevails, the asymptotic regime is characterized by a self-sustained irregular, macroscopic (collective) dynamics rather than being asynchronous. This holds true even for very small coupling strengths. A relationship with the collective chaos observed in standard (unbalanced) heterogeneous networks is also put forward and the role played by clustered states discussed.

Original language	English
Article number	081106
Journal	Chaos
Volume	28
Issue number	8
Early online date	29 Aug 2018
DOIs	https://doi.org/10.1063/1.5049902
Publication status	Published - Aug 2018

Bibliographical note

The authors acknowledge N. Brunel, F. Farkhooi,
G. Mato, M. Timme, and M. di Volo for enlightening discussions.
This work has been partially supported by the
French government under AMIDEX Grant No. ANR-11-
IDEX-0001-02 (A.T.) and mainly realized at the Max Planck
Institute for the Physics of Complex Systems (Dresden, Germany)
within the activity of the Advanced Study Group
2016/17 “From Microscopic to Collective Dynamics in Neural
Circuits.”

Keywords

nlin.AO

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10.1063/1.5049902Licence: Unspecified

Ubiquity of collective irregular dynamics in balanced networks of spiking neurons
Final published article available here Ullner, E, Politi, A & Torcini, A 2018, 'Ubiquity of collective irregular dynamics in balanced networks of spiking neurons' Chaos, vol 28, no. 8, 081106 . DOI: 10.1063/1.5049902. © 2018 AIP Publishing
Final published version, 664 KBLicence: Other

http://arxiv.org/abs/1711.01096v1Licence: Unspecified

Ekkehard Ullner
- School of Natural & Computing Sciences, Physics - Lecturer
- Institute for Complex Systems and Mathematical Biology (ICSMB)
Person: Academic

Cite this

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Ubiquity of collective irregular dynamics in balanced networks of spiking neurons

Abstract

Bibliographical note

Keywords

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