{"title":"Composition conditions and center problem","authors":"Seok Hur","doi":"10.1016/S0764-4442(01)02124-3","DOIUrl":null,"url":null,"abstract":"<div><p>This Note presents a composition condition which yields vanishing of all the obstructions to a center displayed in Françoise's algorithm for the computation of higher order Melnikov functions [6,9]. We discuss some examples and the relation with the composition condition of Alwash and Lloyd [1,2].</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 8","pages":"Pages 779-784"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02124-3","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021243","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
This Note presents a composition condition which yields vanishing of all the obstructions to a center displayed in Françoise's algorithm for the computation of higher order Melnikov functions [6,9]. We discuss some examples and the relation with the composition condition of Alwash and Lloyd [1,2].
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