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Condensed Matter > Statistical Mechanics
Title: Chimera states in neural networks and power systems
(Submitted on 5 Jul 2023 (v1), last revised 26 Mar 2024 (this version, v2))
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 case of the high-voltage power grid of Europe ($d_s < 2$), a large human connectome (KKI113) and in 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.: $d^{EU}_g\simeq 2.6(1)$ and $d^{FF}_g\simeq 5.4(1)$, $d^{\mathrm{KKI113}}_g\simeq 3.4(1)$. 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 \red{chimera-like} patterns on the graph community level as well as by the local order parameters.
Submission history
From: Geza Odor [view email][v1] Wed, 5 Jul 2023 11:46:26 GMT (3202kb,D)
[v2] Tue, 26 Mar 2024 09:23:43 GMT (6465kb,D)
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