Center conditions and limit cycles for BiLiénard systems

Simple item page
dc.contributor.authorGine, Jaume
dc.date.accessioned2022-04-08T14:17:22Z
dc.date.available2022-04-08T14:17:22Z
dc.date.issued2017-03-27
dc.description.abstractIn this article we study the center problem for polynomial BiLiénard systems of degree n. Computing the focal values and using Gröbner bases we find the center conditions for such systems for n=6. We also establish a conjecture about the center conditions for polynomial BiLiénard systems of arbitrary degree.
dc.description.departmentMathematics
dc.formatText
dc.format.extent5 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationGiné, J. (2017). Center conditions and limit cycles for BiLiénard systems. <i>Electronic Journal of Differential Equations, 2017</i>(86), pp. 1-5.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15618
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, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCenter problem
dc.subjectAnalytic integrability
dc.subjectGröbner bases
dc.subjectPolynomial BiLiénard differential systems
dc.subjectDecomposition in prime ideals
dc.titleCenter conditions and limit cycles for BiLiénard systems
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
gine.pdf
Size:
166.91 KB
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