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

共 28 条

[11] Chimera-like states in neural networks and power systems [J].

Deng, Shengfeng ;

Odor, Geza .

CHAOS, 2024, 34 (03)

[12] ORDER AND STEPSIZE CONTROL IN EXTRAPOLATION METHODS [J].

DEUFLHARD, P .

NUMERISCHE MATHEMATIK, 1983, 41 (03) :399-422

[13] NONANALYTIC BEHAVIOR ABOVE CRITICAL POINT IN A RANDOM ISING FERROMAGNET [J].

GRIFFITHS, RB .

PHYSICAL REVIEW LETTERS, 1969, 23 (01) :17-+

[14] Collective synchronization in spatially extended systems of coupled oscillators with random frequencies [J].

Hong, H ;

Park, H ;

Choi, MY .

PHYSICAL REVIEW E, 2005, 72 (03)

[15] Entrainment transition in populations of random frequency oscillators [J].

Hong, Hyunsuk ;

Chate, Hugues ;

Park, Hyunggyu ;

Tang, Lei-Han .

PHYSICAL REVIEW LETTERS, 2007, 99 (18)

[16] Critical dynamics of the Kuramoto model on sparse random networks [J].

Juhasz, Robert ;

Kelling, Jeffrey ;

Odor, Geza .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2019,

[17] Competition between quenched disorder and long-range connections: A numerical study of diffusion [J].

Juhasz, Robert .

PHYSICAL REVIEW E, 2012, 85 (01)

[18]

Karsten A., 2014, Numerical Computations with GPUs, P125, DOI [10.1007/978-3-319-06548-97, DOI 10.1007/978-3-319-06548-97]

[19]

Kuramoto Y., 2012, CHEM OSCILLATIONS WA

[20] Complex networks with tuneable spectral dimension as a universality playground [J].

Millan, Ana P. ;

Gori, Giacomo ;

Battiston, Federico ;

Enss, Tilman ;

Defenu, Nicolo .

PHYSICAL REVIEW RESEARCH, 2021, 3 (02)

← 1 2 3 →