# A Brief History of Excitable Map-Based Neurons and Neural Networks

arXiv: https://arxiv.org/abs/1303.0256 · HTML: https://mlsanity.com/paper/1303.0256/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 1 Mar 2013.

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

- [Learning About Learning: A Path from Spin Glasses to Artificial Intelligence](https://mlsanity.com/paper/2601.07635/) (2026)

## Abstract (arXiv)

This review gives a short historical account of the excitable maps approach for modeling neurons and neuronal networks. Some early models, due to Pasemann (1993), Chialvo (1995) and Kinouchi and Tragtenberg (1996), are compared with more recent proposals by Rulkov (2002) and Izhikevich (2003). We also review map-based schemes for electrical and chemical synapses and some recent findings as critical avalanches in map-based neural networks. We conclude with suggestions for further work in this area like more efficient maps, compartmental modeling and close dynamical comparison with conductance-based models.