Polynomial Differential Cubic Systems with Invariant Straight Lines of Total Multiplicity Seven and Four Distinct Infinite Singularities [Articol]

dc.contributor.authorBujac, Cristinaro
dc.contributor.authorVulpe, Nicolaero
dc.date.accessioned2025-06-18T07:53:08Z
dc.date.issued2024
dc.description.abstractThe family of cubic differential systems possessing invariant straight lines was considered by many authors. But a strong classification of this family according to the configurations of invariant lines began in 2006 [11], where the existence of the maximum number of invariant lines (nine) is required. Here we continue the investigation of the subfamily of cubic systems possessing invariant lines of total multiplicity seven and four distinct infinite singularities. We prove that this subfamily could have a total of 166 distinct configurations of invariant straight lines.en
dc.description.sponsorshipThe work of the first and the second authors was supported by the Program SATGED 011303, Moldova State University. Moreover the second author is partially supported by the grant number 21.70105.31 S.D.en
dc.identifier.citationBUJAC, Cristina and Nicolae VULPE. Polynomial Differential Cubic Systems with Invariant Straight Lines of Total Multiplicity Seven and Four Distinct Infinite Singularities. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 155-160. ISBN 978-9975-68-515-3.en
dc.identifier.isbn978-9975-68-515-3
dc.identifier.urihttps://msuir.usm.md/handle/123456789/18234
dc.language.isoen
dc.subjectcubic systemen
dc.subjectaffine transformationen
dc.subjectinvariant straight lineen
dc.subjectinfinite and finite singularitiesen
dc.subjectmultiplicity of an invariant line and singularityen
dc.subjectconfiguration of invariant straight linesen
dc.titlePolynomial Differential Cubic Systems with Invariant Straight Lines of Total Multiplicity Seven and Four Distinct Infinite Singularities [Articol]en
dc.typeArticle

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