具有(3
Cristina Bujac, D. Schlomiuk, N. Vulpe

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引用次数: 0

摘要

本文考虑一类非简并实数平面三次向量场csl72r2c∞,该类向量场具有两个实数和两个复不同无穷奇点和总复数为7的不变直线,包括无穷远处的直线。在2014 - 2022年发表的文章中给出了具有不变直线的系统的不变线的构型分类。我们继续研究了具有(3,1,1,1)型不变线构型的csl72r2c∞族,并证明了该族有42个不同的构型。此外,我们根据仿射变换群和时间重标度构造了该类系统的所有轨道表示。
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The family of cubic differential systems with two real and two complex distinct infinite singularities and invariant straight lines of the type ( 3
In this article we consider the class CSL 7 2 r 2 c ∞ of non-degenerate real planar cubic vector fields, which possess two real and two complex distinct infinite singularities and invariant straight lines of total multiplicity 7, including the line at infinity. The classification according to the configurations of invariant lines of systems possessing invariant straight lines was given in articles published from 2014 up to 2022. We continue our investigation for the family CSL 7 2 r 2 c ∞ possessing configurations of invariant lines of type ( 3 , 1 , 1 , 1 ) and prove that there are exactly 42 distinct configurations of this type. Moreover we construct all the orbit representatives of the systems in this class with respect to affine group of transformations and a time rescaling.
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来源期刊
CiteScore
1.40
自引率
9.10%
发文量
23
审稿时长
3 months
期刊介绍: The Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE) is a completely open access journal dedicated to bringing you high quality papers on the qualitative theory of differential equations. Papers appearing in EJQTDE are available in PDF format that can be previewed, or downloaded to your computer. The EJQTDE is covered by the Mathematical Reviews, Zentralblatt and Scopus. It is also selected for coverage in Thomson Reuters products and custom information services, which means that its content is indexed in Science Citation Index, Current Contents and Journal Citation Reports. Our journal has an impact factor of 1.827, and the International Standard Serial Number HU ISSN 1417-3875. All topics related to the qualitative theory (stability, periodicity, boundedness, etc.) of differential equations (ODE''s, PDE''s, integral equations, functional differential equations, etc.) and their applications will be considered for publication. Research articles are refereed under the same standards as those used by any journal covered by the Mathematical Reviews or the Zentralblatt (blind peer review). Long papers and proceedings of conferences are accepted as monographs at the discretion of the editors.
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