{"title":"通过排斥中继层增强复用网络中的中继同步性","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":"{\"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}","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
摘要
摘要 中继同步是两个间接连接层的层间同步,是多路网络中的一个重要现象。本研究通过 Hindmarsh-Rose 神经元的三重网络研究了中继同步问题,同时考虑了吸引性和排斥性层内耦合。当远端层具有吸引力耦合,而中继层具有斥力耦合时,中继同步性会得到改善。在主稳定函数方法的框架内,找到了中继同步局部稳定性的基本条件。同步误差的数值数据为分析结果提供了支持。此外,对于更大的网络和不同的内部耦合,也显示了增强的中继同步性。最后,通过研究 R "ossler 系统的三重网络,证实了结果的通用性。
Enhancing relay synchronization in multiplex networks by repulsive relay layer
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.
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