构成条件与中心问题

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-10-01 DOI:10.1016/S0764-4442(01)02124-3

Seok Hur

{"title":"构成条件与中心问题","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":"{\"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}","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

摘要

本文给出了在计算高阶Melnikov函数[6,9]的franoise算法中显示的使中心的所有障碍物消失的复合条件。我们讨论了一些例子及其与Alwash和Lloyd的复合条件的关系[1,2]。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Composition conditions and center problem

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].

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

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

自引率

0.00%

发文量