{"title":"CENTER CONDITIONS FOR A CUBIC DIFFERENTIAL SYSTEM WITH AN INVARIANT CONIC","authors":"D. Cozma","doi":"10.31861/bmj2022.01.02","DOIUrl":null,"url":null,"abstract":"We find conditions for a singular point O(0, 0) of a center or a focus type to be a center,\nin a cubic differential system with one irreducible invariant conic. The presence of a center at O(0, 0) is proved by constructing integrating factors.","PeriodicalId":196726,"journal":{"name":"Bukovinian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bukovinian Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31861/bmj2022.01.02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We find conditions for a singular point O(0, 0) of a center or a focus type to be a center,
in a cubic differential system with one irreducible invariant conic. The presence of a center at O(0, 0) is proved by constructing integrating factors.