Extended mean-field approach for chimera states in random complex networks

被引：1

作者：

Yi, Sudo ^{[1
,2
,3
]}

Um, Jaegon ^{[1
,2
,4
]}

Kahng, B. ^{[1
,2
,5
,6
]}

机构：

[1] Seoul Natl Univ, CCSS, CTP, Seoul 08826, South Korea

[2] Seoul Natl Univ, Dept Phys & Astron, Seoul 08826, South Korea

[3] Korea Inst Adv Study, Sch Computat Sci, Seoul 02455, South Korea

[4] Pohang Univ Sci & Technol, Dept Phys, Pohang 37673, South Korea

[5] KI Grid Modernizat, Ctr Complex Syst, Naju 58217, Jeonnam, South Korea

[6] Korea Inst Energy Technol, Naju 58217, Jeonnam, South Korea

来源：

CHAOS | 2022年 / 32卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

BUMPS;

D O I：

10.1063/5.0079471

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Identical oscillators in the chimera state exhibit a mixture of coherent and incoherent patterns simultaneously. Nonlocal interactions and phase lag are critical factors in forming a chimera state within the Kuramoto model in Euclidean space. Here, we investigate the contributions of nonlocal interactions and phase lag to the formation of the chimera state in random networks. By developing an extended mean-field approximation and using a numerical approach, we find that the emergence of a chimera state in the Erdos-Renyi network is due mainly to degree heterogeneity with nonzero phase lag. For a regularly random network, although all nodes have the same degree, we find that disordered connections may yield the chimera state in the presence of long-range interactions. Furthermore, we show a nontrivial dynamic state in which all the oscillators drift more slowly than a defined frequency due to connectivity disorder at large phase lags beyond the mean-field solutions.

引用

页数：10