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A Quartic System with Twenty-Six Limit Cycles
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics. (CAPA)
2011 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 20, no 3, 323-328 p.Article in journal (Refereed) Published
Abstract [en]

We construct a planar quartic system and demonstrate that it has at least 26 limit cycles. The vector field is symmetric and integrable, but non-Hamiltonian. The proof is based on a verified computation of zeros of pseudo-Abelian integrals, together with the symmetry properties.

Place, publisher, year, edition, pages
2011. Vol. 20, no 3, 323-328 p.
Keyword [en]
Primary: 34C07; Secondary: 37G15, 37G40, 37M20, 65G20
National Category
Mathematical Analysis
Research subject
URN: urn:nbn:se:uu:diva-173606DOI: 10.1080/10586458.2011.565252OAI: oai:DiVA.org:uu-173606DiVA: diva2:524339
Available from: 2012-05-01 Created: 2012-05-01 Last updated: 2012-11-16Bibliographically approved

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