Emergence and control of synchronization in networks with directed many-body interactions
Adaptation and Self-Organizing Systems
2023-10-05 v1
Abstract
The emergence of collective behaviors in networks of dynamical units in pairwise interaction has been explained as the effect of diffusive coupling. How does the presence of higher-order interaction impact the onset of spontaneous or induced synchronous behavior? Inspired by actuation and measurement constraints typical of physical and engineered systems, we propose a diffusion mechanism over hypergraphs that explains the onset of synchronization through a clarifying analogy with signed graphs. Our findings are mathematically backed by general conditions for convergence to the synchronous state.
Keywords
Cite
@article{arxiv.2310.02730,
title = {Emergence and control of synchronization in networks with directed many-body interactions},
author = {Fabio Della Rossa and Davide Liuzza and Francesco Lo Iudice and Pietro De Lellis},
journal= {arXiv preprint arXiv:2310.02730},
year = {2023}
}