{"title":"Centers of cubic differential systems with the line at infinity of maximal multiplicity","authors":"A. Suba","doi":"10.36120/2587-3644.v14i2.38-46","DOIUrl":null,"url":null,"abstract":"We classify all cubic differential systems with a center-focus critical point and the line at infinity of maximal multiplicity. It is proved that the critical point is of the center type if and only if the divergence of vector field associated to differential system vanishes.","PeriodicalId":340784,"journal":{"name":"Acta et commentationes: Ştiinţe Exacte şi ale Naturii","volume":"332 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta et commentationes: Ştiinţe Exacte şi ale Naturii","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36120/2587-3644.v14i2.38-46","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 classify all cubic differential systems with a center-focus critical point and the line at infinity of maximal multiplicity. It is proved that the critical point is of the center type if and only if the divergence of vector field associated to differential system vanishes.
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