{"title":"CENTER PROBLEM FOR CUBIC DIFFERENTIAL SYSTEMS WITH THE LINE AT INFINITY AND AN AFFINE REAL INVARIANT STRAIGHT LINE OF TOTAL MULTIPLICITY FOUR","authors":"A. Suba, O. Vacaras","doi":"10.31861/bmj2021.02.03","DOIUrl":null,"url":null,"abstract":"In this article, we show that a non-degenerate monodromic critical point of differential\nsystems with the line at infinity and an affine real invariant straight line of total multiplicity\nfour is a center type if and only if the first four Lyapunov quantities vanish.","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/bmj2021.02.03","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
In this article, we show that a non-degenerate monodromic critical point of differential
systems with the line at infinity and an affine real invariant straight line of total multiplicity
four is a center type if and only if the first four Lyapunov quantities vanish.
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