Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons

Abstract

We extensively explore networks of weakly unbalanced, leaky integrate-and-fire (LIF) neurons for different coupling strength, connectivity, and by varying the degree of refractoriness, as well as the delay in the spike transmission. We find that the neural network does not only exhibit a microscopic (single-neuron) stochastic-like evolution, but also a collective irregular dynamics (CID). Our analysis is based on the computation of a suitable order parameter, typically used to characterize synchronization phenomena and on a detailed scaling analysis (i.e. simulations of different network sizes). As a result, we can conclude that CID is a true thermodynamic phase, intrinsically different from the standard asynchronous regime.

arXiv comment12 pages, 13 figures

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Cited by in corpus (5)

• On the interpretation of Dirac $\delta$ pulses in differential equations for phase oscillators
• Quantitative and qualitative analysis of asynchronous neural activity
• Dynamics of a network of quadratic integrate-and-fire neurons with bimodal heterogeneity
• Neural Activity of Heterogeneous Inhibitory Spiking Networks with Delay
• Collective dynamics in the presence of finite-width pulses