Critical threshold for synchronizability of high-dimensional Kuramoto oscillators under higher-order interactions.

IF 2.7 2区 数学 Q1 MATHEMATICS, APPLIED
Chaos Pub Date : 2024-12-01 DOI:10.1063/5.0211410
Hyungjin Huh, Dohyun Kim
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引用次数: 0

Abstract

We study the asymptotic dynamics of the high-dimensional Kuramoto oscillators on the unit sphere with two- and three-body interactions that trigger competition between synchrony and non-synchrony. In this work, we find a critical threshold between interaction strengths for complete synchronizability. Moreover, critical slowing down is observed at this phase transition. Our main theorems are supplemented by several numerical experiments, which provide a qualitative insight beyond theoretical results.

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来源期刊
Chaos
Chaos 物理-物理:数学物理
CiteScore
5.20
自引率
13.80%
发文量
448
审稿时长
2.3 months
期刊介绍: Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.
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