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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 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 |
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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.
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Received: 20 September 2023
Revised: 21 November 2023
Accepted manuscript online: 12 December 2023
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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89.75.Fb
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(Structures and organization in complex systems)
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89.75.-k
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(Complex systems)
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| Fund: 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). |
Corresponding Authors:
Zhigang Zheng, Can Xu
E-mail: zgzheng@hqu.edu.cn;xucan@hqu.edu.cn
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Cite this article:
Yonggang Wu(伍勇刚), Huajian Yu(余华健), Zhigang Zheng(郑志刚), and Can Xu(徐灿) Chimera states of phase oscillator populations with nonlocal higher-order couplings 2024 Chin. Phys. B 33 040504
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