On the Contraction of Excitable Systems
Systems and Control
2026-04-20 v3 Systems and Control
Abstract
We study the contraction of Hodgkin-Huxley model and its role in the reliability of spike timings. Without input, the model is contractive in the region of physiological interest. With impulsive synaptic inputs, contraction is retained provided that the input events are sparse enough. Contraction is lost when the input firing rate is too high. Spike timings are shown to be reliable in the contracting regime.
Cite
@article{arxiv.2511.15477,
title = {On the Contraction of Excitable Systems},
author = {Alessandro Cecconi and Michelangelo Bin and Lorenzo Marconi and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:2511.15477},
year = {2026}
}
Comments
Accepted for presentation at ECC 2026