Role of Delays in Shaping Spatiotemporal Dynamics of Neuronal Activity in Large Networks

Journal Article · Fri Jun 17 00:00:00 EDT 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.94.238103· OSTI ID:20696386

Roxin, Alex; Brunel, Nicolas; Hansel, David ^[1]

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1. Laboratory of Neurophysics and Physiology, UMR8119 CNRS - Universite Rene Descartes, 45 Rue des Saints Peres, 75270 Paris Cedex 06 (France)

We study the effect of delays on the dynamics of large networks of neurons. We show that delays give rise to a wealth of bifurcations and to a rich phase diagram, which includes oscillatory bumps, traveling waves, lurching waves, standing waves arising via a period-doubling bifurcation, aperiodic regimes, and regimes of multistability. We study the existence and the stability of the various dynamical patterns analytically and numerically in a simplified rate model as a function of the interaction parameters. The results derived in that framework allow us to understand the origin of the diversity of dynamical states observed in large networks of spiking neurons.

• OSTI ID: 20696386
• Journal Information: Physical Review Letters, Vol. 94, Issue 23; Other Information: DOI: 10.1103/PhysRevLett.94.238103; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BIFURCATION
NERVE CELLS
NEURAL NETWORKS
PHASE DIAGRAMS
STANDING WAVES
TIME DELAY
TRAVELLING WAVES