{"title":"Dynamic Geometry of Cubic Polynomial","authors":"G. Aghekyan, K. Sahakyan","doi":"10.13189/UJAM.2013.010401","DOIUrl":null,"url":null,"abstract":"In the paper we consider the dynamic behavior of the critical points of some cubic polynomials, with the motion of one of the roots of the polynomial along a given trajectory. Some dynamic property of polynomials is investigated. The statements about traces of critical points of some polynomials are proved. The equations of curves, on which critical points move, are obtained.","PeriodicalId":372283,"journal":{"name":"Universal Journal of Applied Mathematics","volume":"388 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Universal Journal of Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.13189/UJAM.2013.010401","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In the paper we consider the dynamic behavior of the critical points of some cubic polynomials, with the motion of one of the roots of the polynomial along a given trajectory. Some dynamic property of polynomials is investigated. The statements about traces of critical points of some polynomials are proved. The equations of curves, on which critical points move, are obtained.
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