Critical points, stability, and basins of attraction of three Kuramoto oscillators with isosceles triangle network

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2024-07-27 DOI:10.1016/j.aml.2024.109246

Xiaoxue Zhao , Xiang Zhou

引用次数: 0

Abstract

We investigate the Kuramoto model with three oscillators interconnected by an isosceles triangle network. The characteristic of this model is that the coupling connections between the oscillators can be either attractive or repulsive. We list all critical points and investigate their stability. We furthermore present a framework studying convergence towards stable critical points under special coupled strengths. The main tool is the linearization and the monotonicity arguments of oscillator diameter.

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具有等腰三角形网络的三个仓本振荡器的临界点、稳定性和吸引盆地

我们研究了由等腰三角形网络相互连接的三个振子的仓本模型。该模型的特点是振子之间的耦合连接既可以是吸引性的，也可以是排斥性的。我们列出了所有临界点，并研究了它们的稳定性。此外，我们还提出了一个研究特殊耦合强度下稳定临界点收敛性的框架。主要工具是振荡器直径的线性化和单调性论证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.