Ubiquity of collective irregular dynamics in balanced networks of spiking neurons

Abstract

We revisit the dynamics of a prototypical model of balanced activity in networks of spiking neutrons. A detailed investigation of the thermodynamic limit for fixed density of connections (massive coupling) shows that, when inhibition prevails, the asymptotic regime is not asynchronous but rather characterized by a self-sustained irregular, macroscopic (collective) dynamics. So long as the connectivity is massive, this regime is found in many different setups: leaky as well as quadratic integrate-and-fire neurons; large and small coupling strength; weak and strong external currents.

5 pages, 4 figures

References in corpus (7)

• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Transition to chaos in random neuronal networks
• Dynamical Entropy Production in Spiking Neuron Networks in the Balanced State
• Desynchronization in diluted neural networks
• Desynchronized stable states in diluted neural networks
• On the equivalence of phase-oscillator and integrate-and-fire models
• A complete mean-field theory for dynamics of binary recurrent neural networks

Cited by in corpus (7)

• Coherent oscillations in balanced neural networks driven by endogenous fluctuations
• Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons
• From phase to amplitude oscillators
• Quantitative and qualitative analysis of asynchronous neural activity
• Neural Activity of Heterogeneous Inhibitory Spiking Networks with Delay
• Collective dynamics in the presence of finite-width pulses
• Circular Cumulant Reductions for Macroscopic Dynamics of Kuramoto Ensemble with Multiplicative Intrinsic Noise