中国物理B ›› 2025, Vol. 34 ›› Issue (7): 70503-070503.doi: 10.1088/1674-1056/adc7ef

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Effects of noise on synchronization in simplicial complexes

Linying Xiang(项林英)1,†, Shuwei Yao(姚姝玮)1, Yining Chen(陈艺宁)1, Ruitong Yan(闫锐桐)1, and Ruya Xia(夏儒雅)2   

  1. 1 School of Artificial Intelligence, Tiangong University, Tianjin 300387, China;
    2 School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
  • 收稿日期:2025-01-14 修回日期:2025-03-19 接受日期:2025-04-02 出版日期:2025-06-18 发布日期:2025-07-03
  • 通讯作者: Linying Xiang E-mail:xianglinying@tiangong.edu.cn
  • 基金资助:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos. 62473284, 61973064, and 62203327) and Hebei Natural Science Foundation (Grant No. F2022501024).

Effects of noise on synchronization in simplicial complexes

Linying Xiang(项林英)1,†, Shuwei Yao(姚姝玮)1, Yining Chen(陈艺宁)1, Ruitong Yan(闫锐桐)1, and Ruya Xia(夏儒雅)2   

  1. 1 School of Artificial Intelligence, Tiangong University, Tianjin 300387, China;
    2 School of Control Engineering, Northeastern University at Qinhuangdao, Qinhuangdao 066004, China
  • Received:2025-01-14 Revised:2025-03-19 Accepted:2025-04-02 Online:2025-06-18 Published:2025-07-03
  • Contact: Linying Xiang E-mail:xianglinying@tiangong.edu.cn
  • Supported by:
    Project supported in part by the National Natural Science Foundation of China (Grant Nos. 62473284, 61973064, and 62203327) and Hebei Natural Science Foundation (Grant No. F2022501024).

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摘要： This paper explores the synchronization of stochastic simplicial complexes with noise, modeled by stochastic differential equations of Itô type. It establishes the relationship between synchronization and individual dynamics, higher-order structures, coupling strengths, and noise. In particular, this study delves into the role of multi-body interactions, particularly focusing on the influence of higher-order simplicial structures on the overall synchronization behavior. Furthermore, the effects of noise on synchronizability in the stochastic simplicial complex are thoroughly examined. The obtained results indicate that the effects of noise on the synchronizability vary with the manner in which noise propagates. The presence of noise can regulate the synchronization pattern of the simplicial complex, transforming the unstable state into a stable state, and vice versa. These findings offer valuable insights and a theoretical foundation for improving the performance of real-world networks, such as communication networks, biological systems, and social networks, where noise is often inevitable.

关键词: simplical complex, higher-order network, synchronization, noise, stochastic differential equation

Abstract: This paper explores the synchronization of stochastic simplicial complexes with noise, modeled by stochastic differential equations of Itô type. It establishes the relationship between synchronization and individual dynamics, higher-order structures, coupling strengths, and noise. In particular, this study delves into the role of multi-body interactions, particularly focusing on the influence of higher-order simplicial structures on the overall synchronization behavior. Furthermore, the effects of noise on synchronizability in the stochastic simplicial complex are thoroughly examined. The obtained results indicate that the effects of noise on the synchronizability vary with the manner in which noise propagates. The presence of noise can regulate the synchronization pattern of the simplicial complex, transforming the unstable state into a stable state, and vice versa. These findings offer valuable insights and a theoretical foundation for improving the performance of real-world networks, such as communication networks, biological systems, and social networks, where noise is often inevitable.

Key words: simplical complex, higher-order network, synchronization, noise, stochastic differential equation

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.-a (Nonlinear dynamics and chaos)