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

作　　者：伍勇刚 余华健 郑志刚 徐灿 Yonggang Wu;Huajian Yu;Zhigang Zheng;Can Xu(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China;Institute of Systems Science and College of Information Science and Engineering,Huaqiao University,Xiamen 361021,China)

机构地区：[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

出　　处：《Chinese Physics B》2024年第4期402-407,共6页中国物理B（英文版）

基　　金：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);the Scientific Research Funds of Huaqiao University (Grant No.ZQN-810)。

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 

分 类 号：O157.5[理学—数学]