Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities

Simple item page
dc.contributor.authorBujac, Cristina
dc.contributor.authorSchlomiuk, Dana
dc.contributor.authorVulpe, Nicolae
dc.date.accessioned2022-10-26T14:11:58Z
dc.date.available2022-10-26T14:11:58Z
dc.date.issued2021-10-03
dc.description.abstractIn this article we consider the class CSL74s∞ of non-degenerate real planar cubic vector fields possessing four distinct real infinite singularities and invariant straight lines, including the line at infinity of total multiplicity 7. We prove that there are exactly 93 distinct configurations of invariant straight lines for this class, and present corresponding examples for the realization of each one of the detected configurations.
dc.description.departmentMathematics
dc.formatText
dc.format.extent110 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBujac, C., Schlomiuk, D., & Vulpe, N. (2021). Cubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities. Electronic Journal of Differential Equations, 2021(83), pp. 1-110.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16241
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCubic vector field
dc.subjectInvariant straight line
dc.subjectMultiplicity of singularity
dc.subjectInfinite and finite singularities
dc.subjectMultiplicity of invariant lines
dc.subjectConfigurations of invariant straight lines
dc.titleCubic differential systems with invariant straight lines of total multiplicity seven and four real distinct infinite singularities
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
bujac.pdf
Size:
1.95 MB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations