Explosive synchronization and hysteresis in FitzHugh-Nagumo neural networks with higher-order interactions

doi:10.1088/1674-1056/adfc41

中国物理B ›› 2026, Vol. 35 ›› Issue (3): 30503-030503.doi: 10.1088/1674-1056/adfc41

Explosive synchronization and hysteresis in FitzHugh-Nagumo neural networks with higher-order interactions

Wen-Xin Cao(曹文鑫)†, Mao-Sheng Wang(汪茂胜), Fei Xu(徐飞), Shou-Fang Huang(黄守芳), and Ji-Qian Zhang(张季谦)

School of Physics and Electronic Information, Anhui Normal University, Wuhu 241002, China

收稿日期:2025-06-07 修回日期:2025-07-27 接受日期:2025-08-18 出版日期:2026-02-11 发布日期:2026-03-12
通讯作者: Mao-Sheng Wang E-mail:wangms@mail.ahnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12404233).

Explosive synchronization and hysteresis in FitzHugh-Nagumo neural networks with higher-order interactions

Wen-Xin Cao(曹文鑫)†, Mao-Sheng Wang(汪茂胜), Fei Xu(徐飞), Shou-Fang Huang(黄守芳), and Ji-Qian Zhang(张季谦)

School of Physics and Electronic Information, Anhui Normal University, Wuhu 241002, China

Received:2025-06-07 Revised:2025-07-27 Accepted:2025-08-18 Online:2026-02-11 Published:2026-03-12
Contact: Mao-Sheng Wang E-mail:wangms@mail.ahnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12404233).

摘要/Abstract

摘要： This study investigates the impact of higher-order interactions on explosive synchronization and hysteresis in FitzHugh-Nagumo neural networks. We construct a higher-order network model incorporating pairwise (1-simplex) and three-body (2-simplex) interactions, along with a nonlinear coupling mechanism inspired by the Rosenzweig-MacArthur model. Using the order parameter and standard deviation as metrics, we analyze synchronization dynamics through numerical simulations. Our results demonstrate that higher-order interactions not only enhance the explosive synchronization but also induce hysteresis, with the hysteresis width growing as higher-order coupling strengthens. Furthermore, increasing noise intensity suppresses the bistability induced by higher-order interactions, ultimately eliminating hysteresis. These findings reveal the critical role of higher-order interactions in synchronization dynamics, offering theoretical insights for controlling collective behavior in neuroscience, ecology, and related fields. This work advances the understanding of synchronization in complex systems and provides new methodologies for studying multi-body interactions in real-world networks.

关键词: higher-order interactions, explosive synchronization, hysteresis, FitzHugh-Nagumo neural network

Abstract: This study investigates the impact of higher-order interactions on explosive synchronization and hysteresis in FitzHugh-Nagumo neural networks. We construct a higher-order network model incorporating pairwise (1-simplex) and three-body (2-simplex) interactions, along with a nonlinear coupling mechanism inspired by the Rosenzweig-MacArthur model. Using the order parameter and standard deviation as metrics, we analyze synchronization dynamics through numerical simulations. Our results demonstrate that higher-order interactions not only enhance the explosive synchronization but also induce hysteresis, with the hysteresis width growing as higher-order coupling strengthens. Furthermore, increasing noise intensity suppresses the bistability induced by higher-order interactions, ultimately eliminating hysteresis. These findings reveal the critical role of higher-order interactions in synchronization dynamics, offering theoretical insights for controlling collective behavior in neuroscience, ecology, and related fields. This work advances the understanding of synchronization in complex systems and provides new methodologies for studying multi-body interactions in real-world networks.

Key words: higher-order interactions, explosive synchronization, hysteresis, FitzHugh-Nagumo neural network

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.-a (Nonlinear dynamics and chaos) 87.19.lj (Neuronal network dynamics) 89.75.Hc (Networks and genealogical trees)

Wen-Xin Cao(曹文鑫), Mao-Sheng Wang(汪茂胜), Fei Xu(徐飞), Shou-Fang Huang(黄守芳), and Ji-Qian Zhang(张季谦). Explosive synchronization and hysteresis in FitzHugh-Nagumo neural networks with higher-order interactions[J]. 中国物理B, 2026, 35(3): 30503-030503.

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Explosive synchronization and hysteresis in FitzHugh-Nagumo neural networks with higher-order interactions

Explosive synchronization and hysteresis in FitzHugh-Nagumo neural networks with higher-order interactions

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