Bam\`on's theorem
BamonsTheorem
2004-07-14 10:53:59
2005-02-06 21:47:49
Theorem
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Every quadratic vector field in $\mathbb{R}^2$ has a finite number of limit cycles.\cite{BR}
\subsubsection*{Historical note}
This theorem is weaker than Dulac's theorem but at the time of the publication of \cite{BR} there was a problem in the proof of Dulac's theorem.
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\bibitem[BR]{BR} R. Bam\`on: \PMlinkexternal{Quadratic vector fields in the plane have a finite number of limit cycles}{http://archive.numdam.org/ARCHIVE/PMIHES/PMIHES_1986__64_/PMIHES_1986__64__111_0/PMIHES_1986__64__111_0.pdf}, Publ. I.H.E.S. 64 (1986), 111-142.
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