Swarmalators with Higher Harmonic Coupling: Clustering and Vacillating

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-02 DOI:10.1137/23m1606460

Lauren D. Smith

引用次数: 0

Abstract

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 2, Page 1133-1158, June 2024.
Abstract.We study the dynamics of a swarmalator model with higher harmonic phase coupling. We analyze stability, bifurcation, and structural properties of several novel attracting states, including the formation of spatial clusters with distinct phases, and single spatial clusters with a small number of distinct phases. We use mean-field (centroid) dynamics to analytically determine intercluster distance. We also find states with two large clusters along with a small number of swarmalators that are trapped between the two clusters and vacillate (waver) between them. In the case of a single vacillator we use a mean-field reduction to reduce the dynamics to two dimensions, which enables a detailed bifurcation analysis. We show excellent agreement between our reduced two-dimensional model and the dynamics and bifurcations of the full swarmalator model.

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具有高次谐波耦合的蜂群：聚类和波动

SIAM 应用动力系统期刊》，第 23 卷第 2 期，第 1133-1158 页，2024 年 6 月。摘要：我们研究了具有高次谐波相耦合的蜂群模型的动力学。我们分析了几种新型吸引状态的稳定性、分岔和结构特性，包括形成具有不同相位的空间簇和具有少量不同相位的单一空间簇。我们利用均场（中心点）动力学来分析确定簇间距离。我们还发现了有两个大簇群和少量蜂群的状态，这些蜂群被困在两个簇群之间，并在它们之间摇摆（徘徊）。在单个波动器的情况下，我们使用均值场还原法将动力学还原为二维，从而实现了详细的分岔分析。我们的简化二维模型与完整蜂群模型的动力学和分岔之间显示出极好的一致性。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.