Frustrated Synchronization of the Kuramoto Model on Complex Networks

被引：0

作者：

Odor, Geza ^{[1
]}

Deng, Shengfeng ^{[2
]}

Kelling, Jeffrey ^{[3
,4
]}

机构：

[1] HUN REN Ctr Energy Res, Inst Tech Phys & Mat Sci, POB 49, H-1525 Budapest, Hungary

[2] Shaanxi Normal Univ, Sch Phys & Informat Technol, Xian 710062, Peoples R China

[3] Helmholtz Zentrum Dresden Rossendorf, Inst Radiat Phys, POB 510119, D-01314 Dresden, Germany

[4] Tech Univ Chemnitz, Fac Nat Sci, Str Nationen 62, D-09111 Chemnitz, Germany

来源：

ENTROPY | 2024年 / 26卷 / 12期

关键词：

synchronization; Kuramoto; criticality; spectral dimension;

D O I：

10.3390/e26121074

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a synchronization transition study of the locally coupled Kuramoto model on extremely large graphs. We compare regular 40(5 )and 100(4) lattice results with those of 12 , 000 2 lattice substrates with power-law decaying long links (ll). The latter heterogeneous network exhibits d( s) > 4 spectral dimensions. We show strong corrections to scaling and mean-field type of criticality at d = 5 , with logarithmic corrections at d = 4 Euclidean dimensions. Contrarily, the ll model exhibits a non-mean-field smeared transition, with oscillating corrections at similarly high spectral dimensions. This suggests that the network heterogeneity is relevant, causing frustrated synchronization akin to Griffiths effects.

引用

页数：10

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