首页|Chimera states of phase oscillator populations with nonlocal higher-order couplings
Chimera states of phase oscillator populations with nonlocal higher-order couplings
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The chimera states underlying many realistic dynamical processes have attracted ample attention in the area of dy-namical 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.