UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Instability to a heterogeneous oscillatory state in randomly connected recurrent networks with delayed interactions

Bimbard, C; Ledoux, E; Ostojic, S; (2016) Instability to a heterogeneous oscillatory state in randomly connected recurrent networks with delayed interactions. Physical Review E , 94 (6) , Article 062207. 10.1103/PhysRevE.94.062207. Green open access

[thumbnail of PhysRevE.94.062207.pdf]
Preview
Text
PhysRevE.94.062207.pdf - Published Version

Download (1MB) | Preview

Abstract

Oscillatory dynamics are ubiquitous in biological networks. Possible sources of oscillations are well understood in low-dimensional systems but have not been fully explored in high-dimensional networks. Here we study large networks consisting of randomly coupled rate units. We identify a type of bifurcation in which a continuous part of the eigenvalue spectrum of the linear stability matrix crosses the instability line at nonzero frequency. This bifurcation occurs when the interactions are delayed and partially antisymmetric and leads to a heterogeneous oscillatory state in which oscillations are apparent in the activity of individual units but not on the population-average level.

Type: Article
Title: Instability to a heterogeneous oscillatory state in randomly connected recurrent networks with delayed interactions
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevE.94.062207
Publisher version: https://doi.org/10.1103/PhysRevE.94.062207
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Physical Sciences, Physics, Fluids & Plasmas, Physics, Mathematical, Physics, INHIBITORY SPIKING NEURONS, NEURAL-NETWORKS, PATTERNS, CHAOS
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Brain Sciences > Institute of Ophthalmology
URI: https://discovery.ucl.ac.uk/id/eprint/10083575
Downloads since deposit
39Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item