具有高阶相互作用的自适应Kuramoto网络的同步与混沌研究综述

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Regular and Chaotic Dynamics Pub Date : 2025-02-18 DOI:10.1134/S1560354725010046

Anastasiia A. Emelianova, Vladimir I. Nekorkin

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引用次数: 0

摘要

本文综述了具有高阶相互作用的Kuramoto振子自适应动态网络的研究结果。主要集中在同步和集体混沌动力学领域的研究成果。识别具有高阶相互作用的振荡器系综同步的动力学机制可能有助于进一步理解一些复杂系统（如大脑的神经网络）的工作。

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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Synchronization and Chaos in Adaptive Kuramoto Networks with Higher-Order Interactions: A Review

This paper provides an overview of the results obtained from the study of adaptive dynamical networks of Kuramoto oscillators with higher-order interactions. The main focus is on results in the field of synchronization and collective chaotic dynamics. Identifying the dynamical mechanisms underlying the synchronization of oscillator ensembles with higher-order interactions may contribute to further advances in understanding the work of some complex systems such as the neural networks of the brain.

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来源期刊

Regular and Chaotic Dynamics 物理-力学

CiteScore

2.50

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.