Chimera-like states in neural networks and power systems

Shengfeng Deng; Géza Ódor

doi:10.1063/5.0154581

Chimera-like states in neural networks and power systems

Chaos. 2024 Mar 1;34(3):033135. doi: 10.1063/5.0154581.

Authors

Shengfeng Deng¹, Géza Ódor²

Affiliations

¹ School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China.
² Institute of Technical Physics and Materials Science, HUN-REN Centre for Energy Research, P.O. Box 49, Budapest H-1525, Hungary.

PMID: 38526980
DOI: 10.1063/5.0154581

Abstract

Partial, frustrated synchronization, and chimera-like states are expected to occur in Kuramoto-like models if the spectral dimension of the underlying graph is low: ds<4. We provide numerical evidence that this really happens in the case of the high-voltage power grid of Europe (ds<2), a large human connectome (KKI113) and in the case of the largest, exactly known brain network corresponding to the fruit-fly (FF) connectome (ds<4), even though their graph dimensions are much higher, i.e., dgEU≃2.6(1) and dgFF≃5.4(1), dgKKI113≃3.4(1). We provide local synchronization results of the first- and second-order (Shinomoto) Kuramoto models by numerical solutions on the FF and the European power-grid graphs, respectively, and show the emergence of chimera-like patterns on the graph community level as well as by the local order parameters.