Volume 116, Number 4, November 2016
|Number of page(s)||7|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||28 December 2016|
Slow rate fluctuations in a network of noisy neurons with coupling delay
1 Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade - Pregrevica 118, 11080 Belgrade, Serbia
2 Institute of Applied Physics of the Russian Academy of Sciences - 46 Ulyanov Street, 603950 Nizhny Novgorod, Russia
Received: 18 September 2016
Accepted: 6 December 2016
We analyze the emergence of slow rate fluctuations and rate oscillations in a model of a random neuronal network, underpinning the individual roles and interplay of external and internal noise, as well as the coupling delay. We use the second-order finite-size mean-field model to gain insight into the relevant parameter domains and the mechanisms behind the phenomena. In the delay-free case, we find an intriguing paradigm for slow stochastic fluctuations between the two stationary states, which is shown to be associated to noise-induced transitions in a double-well potential. While the basic effect of coupling delay consists in inducing oscillations of mean rate, the coaction with external noise is demonstrated to lead to stochastic fluctuations between the different oscillatory regimes.
PACS: 87.19.lj – Neuronal network dynamics / 05.40.Ca – Noise / 02.30.Ks – Delay and functional equations
© EPLA, 2016
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