Double explosive Kuramoto transition in hypergraphs

Sangita Dutta, Prosenjit Kundu, Pitambar Khanra, Ludovico Minati, Stefano Boccaletti, Pinaki Pal, Chittaranjan Hens

Research output: Contribution to journalArticlepeer-review

Abstract

This study aims to develop a generalized 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.

Original languageEnglish
Article numberL022049
JournalPhysical Review Research
Volume7
Issue number2
DOIs
StatePublished - Apr 2025
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2025 authors. Published by the American Physical Society.

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