延时Kuramoto模型中两个耦合大质量振子的同步。

IF 2.7 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2025-01-01 DOI:10.1063/5.0228203

Esmaeil Mahdavi, Mina Zarei, Farhad Shahbazi

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引用次数: 0

摘要

我们在二阶Kuramoto模型中研究了时间延迟对两个耦合大质量振荡器的影响，这与依赖于信号传输速度限制的现实世界网络的操作有关。我们的分析和数值研究表明，时间延迟会引起锁相解内的多重稳定性，并且这些解的稳定性随着惯性的增加而降低。除了锁相解，我们还发现非锁相解表现出周期性和混沌行为，这取决于惯性和时间延迟的量。

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Synchronization of two coupled massive oscillators in the time-delayed Kuramoto model.

We examine the impact of the time delay on two coupled massive oscillators within the second-order Kuramoto model, which is relevant to the operations of real-world networks that rely on signal transmission speed constraints. Our analytical and numerical exploration shows that time delay can cause multi-stability within phase-locked solutions, and the stability of these solutions decreases as the inertia increases. In addition to phase-locked solutions, we discovered non-phase-locked solutions that exhibit periodic and chaotic behaviors, depending on the amount of inertia and time delay.

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来源期刊

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.