A double explosive Kuramoto transition in hypergraphs

Autor:	Dutta, Sangita, Kundu, Prosenjit, Khanra, Pitambar, Minati, Ludovico, Boccaletti, Stefano, Pal, Pinaki, Hens, Chittaranjan
Rok vydání:	2024
Předmět:	Nonlinear Sciences - Adaptation and Self-Organizing Systems Nonlinear Sciences - Chaotic Dynamics Nonlinear Sciences - Pattern Formation and Solitons Physics - Physics and Society
Druh dokumentu:	Working Paper
Popis:	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. Comment: 17 pages, 12 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.18897 Zobrazit plný text záznamu View this record from Arxiv