Abstract
The authors show that neural networks exhibiting noise-induced rhythms, also known as quasi-cycle oscillations, can synchronize through out-of-phase locking depending on the noise intensity and the size of the coupling delay
Highlights
Noisy oscillations are observed in a wide variety of systems
The dynamics derived from the stochastic averaging method (SAM) [Eqs. (5) and (7)] provide a good approximation for the envelope and phase of the local field potentials (LFPs) derived in Eqs. (1) for weak and intermediate values of the noise for the E-I network
A robust noise-induced, delay-dependent of-phase locking (OPL) mechanism was revealed by an envelope-phase decomposition of the coupled quasi-cycle dynamics
Summary
Noisy oscillations are observed in a wide variety of systems. Our understanding of the behavior of these systems in isolation and in networks is governed by the underlying dynamical origin of the oscillation. POWANWE AND ANDRÉ LONGTIN are heterogeneous but symmetrically coupled, or identical but asymmetrically coupled This suggests a strong and robust mechanism which could underlie some of the dynamic functional connectivity observed in the brain of several species at rest and when performing certain tasks [20,21,22]. These coupled dynamics, in which each network exhibits quasi-cycle behavior in isolation, enable bidirectional exchanges of information between networks [8]. We complete our study of coupled quasi-cycles by considering the alternative ING model in the same cases, and end with a discussion and outlook onto future works
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