用Lyapunov指数图的方法分析三个不相同的Josephson结

Q4 Engineering

Izvestiya of Saratov University, New Series: Physics Pub Date : 2021-11-11 DOI:10.18500/1817-3020-2023-23-1-4-13

A. Kuznetsov, I. Sataev, Y. Sedova

{"title":"用Lyapunov指数图的方法分析三个不相同的Josephson结","authors":"A. Kuznetsov, I. Sataev, Y. Sedova","doi":"10.18500/1817-3020-2023-23-1-4-13","DOIUrl":null,"url":null,"abstract":"A system of three non-identical Josephson junctions connected via an RLC circuit is considered. The method of Lyapunov exponents charts is used, which makes it possible to identify the main types of dynamics of the system and to analyze the dependence of its properties on parameters. The possibility of both two and three-frequency invariant tori is demonstrated. Saddle-node bifurcations of resonant tori are studied with the use of instantaneous Lyapunov exponents. The dependence of the charts on the type of coupling in the system is discussed.","PeriodicalId":52312,"journal":{"name":"Izvestiya of Saratov University, New Series: Physics","volume":"27 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of three non-identical Josephson junctions by the method of Lyapunov exponent charts\",\"authors\":\"A. Kuznetsov, I. Sataev, Y. Sedova\",\"doi\":\"10.18500/1817-3020-2023-23-1-4-13\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A system of three non-identical Josephson junctions connected via an RLC circuit is considered. The method of Lyapunov exponents charts is used, which makes it possible to identify the main types of dynamics of the system and to analyze the dependence of its properties on parameters. The possibility of both two and three-frequency invariant tori is demonstrated. Saddle-node bifurcations of resonant tori are studied with the use of instantaneous Lyapunov exponents. The dependence of the charts on the type of coupling in the system is discussed.\",\"PeriodicalId\":52312,\"journal\":{\"name\":\"Izvestiya of Saratov University, New Series: Physics\",\"volume\":\"27 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-11-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Izvestiya of Saratov University, New Series: Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18500/1817-3020-2023-23-1-4-13\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Izvestiya of Saratov University, New Series: Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18500/1817-3020-2023-23-1-4-13","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}

引用次数: 0

摘要

考虑了一个由三个不相同的约瑟夫森结通过RLC电路连接的系统。利用李雅普诺夫指数图的方法，可以识别系统动力学的主要类型，并分析其性质对参数的依赖关系。证明了两频和三频不变环面存在的可能性。利用瞬时李雅普诺夫指数研究了共振环面的鞍节点分岔。讨论了图与系统中耦合类型的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Analysis of three non-identical Josephson junctions by the method of Lyapunov exponent charts

A system of three non-identical Josephson junctions connected via an RLC circuit is considered. The method of Lyapunov exponents charts is used, which makes it possible to identify the main types of dynamics of the system and to analyze the dependence of its properties on parameters. The possibility of both two and three-frequency invariant tori is demonstrated. Saddle-node bifurcations of resonant tori are studied with the use of instantaneous Lyapunov exponents. The dependence of the charts on the type of coupling in the system is discussed.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Izvestiya of Saratov University, New Series: Physics Engineering-Engineering (all)

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

22 weeks