{"title":"周期时滞微分方程的Walsh函数一元算子逼近","authors":"E. Vazquez, J. Collado","doi":"10.1109/ICEEE.2016.7751222","DOIUrl":null,"url":null,"abstract":"Using Walsh functions the solution of a linear periodic delay differential equation is approximated. The monodromy operator is then constructed based in the solution obtained. Dominant eigenvalues of the monodromy operator are calculated to determine the stability charts of the delayed Mathieu equation.","PeriodicalId":285464,"journal":{"name":"2016 13th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Monodromy operator approximation of periodic delay differential equations by Walsh functions\",\"authors\":\"E. Vazquez, J. Collado\",\"doi\":\"10.1109/ICEEE.2016.7751222\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using Walsh functions the solution of a linear periodic delay differential equation is approximated. The monodromy operator is then constructed based in the solution obtained. Dominant eigenvalues of the monodromy operator are calculated to determine the stability charts of the delayed Mathieu equation.\",\"PeriodicalId\":285464,\"journal\":{\"name\":\"2016 13th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 13th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEEE.2016.7751222\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 13th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEEE.2016.7751222","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Monodromy operator approximation of periodic delay differential equations by Walsh functions
Using Walsh functions the solution of a linear periodic delay differential equation is approximated. The monodromy operator is then constructed based in the solution obtained. Dominant eigenvalues of the monodromy operator are calculated to determine the stability charts of the delayed Mathieu equation.