Solitary states in spiking oscillators with higher-order interactions
Adaptation and Self-Organizing Systems
2025-07-31 v2
Abstract
We study a system of globally coupled FitzHugh-Nagumo oscillators, showing that the presence of higher-order interactions affects the character of the transition between synchronous and asynchronous states. In particular, we demonstrate that, around the synchronization transition, solitary states emerge due to the presence of second-order interactions. In difference to the phenomenology observed in systems of phase oscillators, we show that, at low coupling strengths, solitary states appear for both transition directions, whereas for higher couplings they only occur in the forward direction, with the backwards one characterized by explosive desynchronization.
Keywords
Cite
@article{arxiv.2504.19016,
title = {Solitary states in spiking oscillators with higher-order interactions},
author = {Vladimir V. Semenov and Subhasanket Dutta and Stefano Boccaletti and Charo I. del Genio and Sarika Jalan and Anna Zakharova},
journal= {arXiv preprint arXiv:2504.19016},
year = {2025}
}
Comments
6 pages, 6 figures