English

Poincare return maps in neural dynamics: three examples

Neurons and Cognition 2020-07-14 v1 Chaotic Dynamics

Abstract

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.

Keywords

Cite

@article{arxiv.2007.05595,
  title  = {Poincare return maps in neural dynamics: three examples},
  author = {Marina L. Kolomiets and Andrey L. Shilnikov},
  journal= {arXiv preprint arXiv:2007.05595},
  year   = {2020}
}
R2 v1 2026-06-23T17:01:56.821Z