异质Kuramoto振子网络的全局同步条件

IF 5.9 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-02-08 DOI:10.1016/j.automatica.2025.112180

Angel Mercado-Uribe , Jesus Mendoza-Avila , Denis Efimov , Johannes Schiffer

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引用次数: 0

摘要

Kuramoto模型是研究同步的关键。在这项工作中，我们给出了在不存在同斜环和异斜环的情况下异质Kuramoto振子网络全局同步的充分条件。构造了适合于Kuramoto模型的候选Leonov函数，为非循环网状网络的几乎全局同步提供了充分条件。当同步条件成立时，平衡态存在的充要条件即满足平衡态的存在性。讨论了主要条件的含义及其与网络拓扑和参数的关系。最后，通过数值算例对结果进行了说明。

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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Conditions for global synchronization in networks of heterogeneous Kuramoto oscillators

The Kuramoto model is essential for studying synchronization. In this work, we present sufficient conditions for global synchronization in networks of heterogeneous Kuramoto oscillators in the absence of homoclinic and heteroclinic cycles. The result is established by constructing a suitable Leonov function candidate for the Kuramoto model, which provides sufficient conditions for almost global synchronization in networks with acyclic and meshed topologies. The synchronization property is accompanied by necessary and sufficient conditions to guarantee the existence of equilibria, which are satisfied if the conditions for synchronization hold. The implications of the main conditions and their relationship with the network topology and parameters are discussed. Finally, the results are illustrated via a numerical example.

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.