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.
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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 |
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