中国物理B ›› 2024, Vol. 33 ›› Issue (4): 40504-040504.doi: 10.1088/1674-1056/ad1481

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Chimera states of phase oscillator populations with nonlocal higher-order couplings

Yonggang Wu(伍勇刚)1, Huajian Yu(余华健)1, Zhigang Zheng(郑志刚)2,†, and Can Xu(徐灿)2,‡   

  1. 1 School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;
    2 Institute of Systems Science and College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China
  • 收稿日期:2023-09-20 修回日期:2023-11-21 接受日期:2023-12-12 出版日期:2024-03-19 发布日期:2024-04-01
  • 通讯作者: Zhigang Zheng, Can Xu E-mail:zgzheng@hqu.edu.cn;xucan@hqu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grants Nos. 12375031 and 11905068), the Natural Science Foundation of Fujian Province, China (Grant No. 2023J01113), and the Scientific Research Funds of Huaqiao University (Grant No. ZQN-810).

Chimera states of phase oscillator populations with nonlocal higher-order couplings

Yonggang Wu(伍勇刚)1, Huajian Yu(余华健)1, Zhigang Zheng(郑志刚)2,†, and Can Xu(徐灿)2,‡   

  1. 1 School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;
    2 Institute of Systems Science and College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China
  • Received:2023-09-20 Revised:2023-11-21 Accepted:2023-12-12 Online:2024-03-19 Published:2024-04-01
  • Contact: Zhigang Zheng, Can Xu E-mail:zgzheng@hqu.edu.cn;xucan@hqu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grants Nos. 12375031 and 11905068), the Natural Science Foundation of Fujian Province, China (Grant No. 2023J01113), and the Scientific Research Funds of Huaqiao University (Grant No. ZQN-810).

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摘要： The chimera states underlying many realistic dynamical processes have attracted ample attention in the area of dynamical systems. Here, we generalize the Kuramoto model with nonlocal coupling incorporating higher-order interactions encoded with simplicial complexes. Previous works have shown that higher-order interactions promote coherent states. However, we uncover the fact that the introduced higher-order couplings can significantly enhance the emergence of the incoherent state. Remarkably, we identify that the chimera states arise as a result of multi-attractors in dynamic states. Importantly, we review that the increasing higher-order interactions can significantly shape the emergent probability of chimera states. All the observed results can be well described in terms of the dimension reduction method. This study is a step forward in highlighting the importance of nonlocal higher-order couplings, which might provide control strategies for the occurrence of spatial—temporal patterns in networked systems.

关键词: synchronization, complex system, coupled oscillators, phase transition

Abstract: The chimera states underlying many realistic dynamical processes have attracted ample attention in the area of dynamical systems. Here, we generalize the Kuramoto model with nonlocal coupling incorporating higher-order interactions encoded with simplicial complexes. Previous works have shown that higher-order interactions promote coherent states. However, we uncover the fact that the introduced higher-order couplings can significantly enhance the emergence of the incoherent state. Remarkably, we identify that the chimera states arise as a result of multi-attractors in dynamic states. Importantly, we review that the increasing higher-order interactions can significantly shape the emergent probability of chimera states. All the observed results can be well described in terms of the dimension reduction method. This study is a step forward in highlighting the importance of nonlocal higher-order couplings, which might provide control strategies for the occurrence of spatial—temporal patterns in networked systems.

Key words: synchronization, complex system, coupled oscillators, phase transition

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
89.75.Fb (Structures and organization in complex systems) 89.75.-k (Complex systems)