{"title":"具有无穷远线和总倍数为4的仿射实不变直线的三次微分系统的中心问题","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":"{\"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}","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}
CENTER PROBLEM FOR CUBIC DIFFERENTIAL SYSTEMS WITH THE LINE AT INFINITY AND AN AFFINE REAL INVARIANT STRAIGHT LINE OF TOTAL MULTIPLICITY FOUR
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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