Double explosive Kuramoto transition in hypergraphs

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 adaptat...

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Main Authors: Sangita Dutta, Prosenjit Kundu, Pitambar Khanra, Ludovico Minati, Stefano Boccaletti, Pinaki Pal, Chittaranjan Hens
Format: Article
Language:English
Published: American Physical Society 2025-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.L022049
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author Sangita Dutta
Prosenjit Kundu
Pitambar Khanra
Ludovico Minati
Stefano Boccaletti
Pinaki Pal
Chittaranjan Hens
author_facet Sangita Dutta
Prosenjit Kundu
Pitambar Khanra
Ludovico Minati
Stefano Boccaletti
Pinaki Pal
Chittaranjan Hens
author_sort Sangita Dutta
collection DOAJ
description 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.
format Article
id doaj-art-bef893eb04ba4c688ddc28be388f8937
institution Kabale University
issn 2643-1564
language English
publishDate 2025-06-01
publisher American Physical Society
record_format Article
series Physical Review Research
spelling doaj-art-bef893eb04ba4c688ddc28be388f89372025-08-20T03:35:27ZengAmerican Physical SocietyPhysical Review Research2643-15642025-06-0172L02204910.1103/PhysRevResearch.7.L022049Double explosive Kuramoto transition in hypergraphsSangita DuttaProsenjit KunduPitambar KhanraLudovico MinatiStefano BoccalettiPinaki PalChittaranjan HensThis 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.http://doi.org/10.1103/PhysRevResearch.7.L022049
spellingShingle Sangita Dutta
Prosenjit Kundu
Pitambar Khanra
Ludovico Minati
Stefano Boccaletti
Pinaki Pal
Chittaranjan Hens
Double explosive Kuramoto transition in hypergraphs
Physical Review Research
title Double explosive Kuramoto transition in hypergraphs
title_full Double explosive Kuramoto transition in hypergraphs
title_fullStr Double explosive Kuramoto transition in hypergraphs
title_full_unstemmed Double explosive Kuramoto transition in hypergraphs
title_short Double explosive Kuramoto transition in hypergraphs
title_sort double explosive kuramoto transition in hypergraphs
url http://doi.org/10.1103/PhysRevResearch.7.L022049
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AT prosenjitkundu doubleexplosivekuramototransitioninhypergraphs
AT pitambarkhanra doubleexplosivekuramototransitioninhypergraphs
AT ludovicominati doubleexplosivekuramototransitioninhypergraphs
AT stefanoboccaletti doubleexplosivekuramototransitioninhypergraphs
AT pinakipal doubleexplosivekuramototransitioninhypergraphs
AT chittaranjanhens doubleexplosivekuramototransitioninhypergraphs