Relay synchronization and control of dynamics in multiplex networks with unidirectional interlayer coupling

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-05-16 DOI:10.1016/j.physd.2025.134715

Aiwin T. Vadakkan , G. Ambika

{"title":"Relay synchronization and control of dynamics in multiplex networks with unidirectional interlayer coupling","authors":"Aiwin T. Vadakkan , G. Ambika","doi":"10.1016/j.physd.2025.134715","DOIUrl":null,"url":null,"abstract":"<div><div>Multiplex networks provide a proper framework for understanding the dynamics of complex systems with differing types of interactions. This study considers different dynamical states possible in a multiplex network of nonlinear oscillators, with a drive layer and two identical response layers where the interlayer interactions are unidirectional. We report how the directionality in coupling can lead to relay synchronization with amplification in the two response layers through feedback from the middle drive layer. The amplitude of synchronized oscillations of response layers can be controlled by tuning the strength of interlayer coupling. Moreover, we find the synchronization patterns that emerge in the response layers depend on the nature of interlayer coupling, whether feedback or diffusive, and the time scale or parameter mismatches between drive and response layers. Thus, the study indicates the potential for controlling and optimizing the dynamics of response layers remotely by adjusting the strength of interlayer coupling or tuning the dynamic time scale of the drive layer.</div></div>","PeriodicalId":20050,"journal":{"name":"Physica D: Nonlinear Phenomena","volume":"478 ","pages":"Article 134715"},"PeriodicalIF":2.7000,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica D: Nonlinear Phenomena","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167278925001927","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

Abstract

Multiplex networks provide a proper framework for understanding the dynamics of complex systems with differing types of interactions. This study considers different dynamical states possible in a multiplex network of nonlinear oscillators, with a drive layer and two identical response layers where the interlayer interactions are unidirectional. We report how the directionality in coupling can lead to relay synchronization with amplification in the two response layers through feedback from the middle drive layer. The amplitude of synchronized oscillations of response layers can be controlled by tuning the strength of interlayer coupling. Moreover, we find the synchronization patterns that emerge in the response layers depend on the nature of interlayer coupling, whether feedback or diffusive, and the time scale or parameter mismatches between drive and response layers. Thus, the study indicates the potential for controlling and optimizing the dynamics of response layers remotely by adjusting the strength of interlayer coupling or tuning the dynamic time scale of the drive layer.

查看原文本刊更多论文

单向层间耦合多路网络中的中继同步与动态控制

多路网络为理解具有不同类型相互作用的复杂系统的动力学提供了一个适当的框架。本研究考虑了具有驱动层和两个相同响应层且层间相互作用为单向的非线性振子多路网络中可能存在的不同动态状态。我们报告了耦合中的方向性如何通过来自中间驱动层的反馈导致两个响应层中的放大中继同步。响应层的同步振荡幅度可以通过调节层间耦合的强度来控制。此外，我们发现响应层中出现的同步模式取决于层间耦合的性质，是反馈的还是扩散的，以及驱动层和响应层之间的时间尺度或参数不匹配。因此，该研究表明，通过调节层间耦合的强度或调整驱动层的动态时间尺度，可以远程控制和优化响应层的动态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.