A double explosive Kuramoto transition in hypergraphs
Adaptation and Self-Organizing Systems
2024-12-30 v1 Chaotic Dynamics
Pattern Formation and Solitons
Physics and Society
Abstract
This study aims to develop a generalised concept that will enable double explosive transitions in the forward and backward directions or a combination thereof. We found two essential factors for generating such phase transitions: the use of higher-order (triadic) interactions and the partial adaptation of a global order parameter acting on the triadic coupling. A compromise between the two factors may result in a double explosive transition. To reinforce numerical observations, we employed the Ott--Antonsen ansatz. We observed that for a wide class of hypergraphs, combining two elements can result in a double explosive transition.
Cite
@article{arxiv.2412.18897,
title = {A double explosive Kuramoto transition in hypergraphs},
author = {Sangita Dutta and Prosenjit Kundu and Pitambar Khanra and Ludovico Minati and Stefano Boccaletti and Pinaki Pal and Chittaranjan Hens},
journal= {arXiv preprint arXiv:2412.18897},
year = {2024}
}
Comments
17 pages, 12 figures