{"title":"基于谐波平衡法的Liouville问题失稳区域计算","authors":"E. V. Vetchanin","doi":"10.1109/NIR52917.2021.9666094","DOIUrl":null,"url":null,"abstract":"This paper considers the application of the harmonic balance method for calculating the boundaries of the instability region of the Liouville problem. Explicit equations for the boundaries of the first four instability regions are given.","PeriodicalId":333109,"journal":{"name":"2021 International Conference \"Nonlinearity, Information and Robotics\" (NIR)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Calculation of instability regions of the Liouville problem based on the harmonic balance method\",\"authors\":\"E. V. Vetchanin\",\"doi\":\"10.1109/NIR52917.2021.9666094\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers the application of the harmonic balance method for calculating the boundaries of the instability region of the Liouville problem. Explicit equations for the boundaries of the first four instability regions are given.\",\"PeriodicalId\":333109,\"journal\":{\"name\":\"2021 International Conference \\\"Nonlinearity, Information and Robotics\\\" (NIR)\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-08-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 International Conference \\\"Nonlinearity, Information and Robotics\\\" (NIR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NIR52917.2021.9666094\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 International Conference \"Nonlinearity, Information and Robotics\" (NIR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NIR52917.2021.9666094","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Calculation of instability regions of the Liouville problem based on the harmonic balance method
This paper considers the application of the harmonic balance method for calculating the boundaries of the instability region of the Liouville problem. Explicit equations for the boundaries of the first four instability regions are given.