1. Chimera-like states in neural networks and power systems.
- Author
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Deng, Shengfeng and Ódor, Géza
- Subjects
- *
LARGE-scale brain networks , *ELECTRIC power distribution grids , *SYNCHRONIZATION - 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: d s < 4. We provide numerical evidence that this really happens in the case of the high-voltage power grid of Europe (d s < 2), a large human connectome (KKI113) and in the case of the largest, exactly known brain network corresponding to the fruit-fly (FF) connectome (d s < 4), even though their graph dimensions are much higher, i.e., d g E U ≃ 2.6 (1) and d g F F ≃ 5.4 (1) , d g KKI 113 ≃ 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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