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 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.

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Publication Details

Journal
Physical Review Research
Published
2025-06-02
DOI
https://doi.org/10.1103/physrevresearch.7.l022049
Citations
2
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
2.97

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article

Double explosive Kuramoto transition in hypergraphs

Chittaranjan Hens, Pinaki Pal, Prosenjit Kundu, Sangita Dutta et al.
2 citations
Physical Review Research
Nonlinear Dynamics and Pattern Formation
2.97
article

Double explosive Kuramoto transition in hypergraphs

Chittaranjan Hens, Pinaki Pal, Prosenjit Kundu, Sangita Dutta, Pitambar Khanra, Stefano Boccaletti, Ludovico Minati
article en
2 citations

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.

Physical Review ResearchVol. 7(2)
Buffalo State University (US), State University of New York (US), North University of China (CN), University of Electronic Science and Technology of China (CN), National Institute of Technology Durgapur (IN), Ningbo University of Technology (CN), University of Trento (IT), Institute for Complex Systems (IT), University at Buffalo, State University of New York (US), Dhirubhai Ambani University (IN)
Department of Science and Technology, Ministry of Science and Technology, India, National Natural Science Foundation of China, University of Electronic Science and Technology of China
Openalex Percentile: Top 9%
Nonlinear Dynamics and Pattern Formation
2.97
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