{"title":"Enhancing relay synchronization in multiplex networks by repulsive relay layer","authors":"Zhouchao Wei, Gokulakrishnan Sriram, Karthikeyan Rajagopal, Sajad Jafari","doi":"10.1209/0295-5075/ad2369","DOIUrl":null,"url":null,"abstract":"<jats:title>Abstract</jats:title> Relay synchronization, which is the interlayer synchronization of two indirectly connected layers, is an important phenomenon in multiplex networks. In this study, relay synchronization is investigated through a triplex network of Hindmarsh-Rose neurons while considering attractive and repulsive intralayer couplings. Relay synchronization is improved when the remote layers have attractive coupling, and the relay layer has repulsive coupling. The essential conditions for the local stability of relay synchronization is found within the framework of master stability function approach. The analytical results are supported by numerical data on synchronization error. Furthermore, enhanced relay synchronization is also shown for larger networks and different internal couplings. Finally, the generalizability of the outcome is confirmed by investigating a triplex network of R\"ossler systems.","PeriodicalId":11738,"journal":{"name":"EPL","volume":"89 1","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"EPL","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1209/0295-5075/ad2369","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract Relay synchronization, which is the interlayer synchronization of two indirectly connected layers, is an important phenomenon in multiplex networks. In this study, relay synchronization is investigated through a triplex network of Hindmarsh-Rose neurons while considering attractive and repulsive intralayer couplings. Relay synchronization is improved when the remote layers have attractive coupling, and the relay layer has repulsive coupling. The essential conditions for the local stability of relay synchronization is found within the framework of master stability function approach. The analytical results are supported by numerical data on synchronization error. Furthermore, enhanced relay synchronization is also shown for larger networks and different internal couplings. Finally, the generalizability of the outcome is confirmed by investigating a triplex network of R"ossler systems.
期刊介绍：
General physics – physics of elementary particles and fields – nuclear physics – atomic, molecular and optical physics – classical areas of phenomenology – physics of gases, plasmas and electrical discharges – condensed matter – cross-disciplinary physics and related areas of science and technology.
Letters submitted to EPL should contain new results, ideas, concepts, experimental methods, theoretical treatments, including those with application potential and be of broad interest and importance to one or several sections of the physics community. The presentation should satisfy the specialist, yet remain understandable to the researchers in other fields through a suitable, clearly written introduction and conclusion (if appropriate).
EPL also publishes Comments on Letters previously published in the Journal.
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