具有高阶相互作用的Kuramoto振子的低维Watanabe-Strogatz方法。

IF 3.2 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2025-09-01 DOI:10.1063/5.0283600

Jayesh C Jain, Sarika Jalan

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引用次数: 0

摘要

Watanabe-Strogatz理论通过Möbius变换的框架提供了相同Kuramoto振子的低维描述。在这里，我们利用Watanabe-Strogatz理论，对具有两两和高阶相互作用及其相应的高次谐波的一类相同Kuramoto振子模型提供了一个统一的描述。我们证明了Watanabe-Strogatz参数的动力学与平均场参数的动力学相同。此外，Möbius转换的极点在这里讨论的模型中充当全局和集群同步的盆地边界。我们提出了数值模拟，说明了这些扩展模型的盆地边界是如何演变的。

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Low-dimensional Watanabe-Strogatz approach for Kuramoto oscillators with higher-order interactions.

Watanabe-Strogatz theory provides a low-dimensional description of identical Kuramoto oscillators via the framework of the Möbius transformation. Here, using the Watanabe-Strogatz theory, we provide a unifying description for a broad class of identical Kuramoto oscillator models with pairwise and higher-order interactions and their corresponding higher harmonics. We show that the dynamics of the Watanabe-Strogatz parameters are the same as those of the mean-field parameters. Additionally, the poles of the Möbius transformation serve as basin boundaries for both global and cluster synchronization in the models discussed here. We present numerical simulations that illustrate how the basin boundaries evolve for these extended models.

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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.