# Poincare return maps in neural dynamics: three examples

arXiv: https://arxiv.org/abs/2007.05595 · HTML: https://mlsanity.com/paper/2007.05595/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 8 Jul 2020.

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

- [Cycle is All You Need: More Is Different](https://mlsanity.com/paper/2509.21340/) (2025)

## Abstract (arXiv)

Understanding of the onset and generic mechanisms of transitions between distinct patterns of activity in realistic models of individual neurons and neural networks presents a fundamental challenge for the theory of applied dynamical systems. We use three examples of slow-fast neural systems to demonstrate a suite of new computational tools to study diverse neuronal systems.