# Order symmetry breaking and broad distribution of events in spiking neural networks with continuous membrane potential

arXiv: https://arxiv.org/abs/2104.03140 · HTML: https://mlsanity.com/paper/2104.03140/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 7 Apr 2021.

## Built on by (most cited first, 1 of 1)

- [Training Multi-Layer Binary Neural Networks With Local Binary Error Signals](https://mlsanity.com/paper/2412.00119/) (2024)

## Abstract (arXiv)

We introduce an exactly integrable version of the well-known leaky integrate-and-fire (LIF) model, with continuous membrane potential at the spiking event, the c-LIF. We investigate the dynamical regimes of a fully connected network of excitatory c-LIF neurons in the presence of short-term synaptic plasticity. By varying the coupling strength among neurons, we show that a complex chaotic dynamics arises, characterized by scale free avalanches. The origin of this phenomenon in the c-LIF can be related to the order symmetry breaking in neurons spike-times, which corresponds to the onset of a broad activity distribution. Our analysis uncovers a general mechanism through which networks of simple neurons can be attracted to a complex basin in the phase space.