# Bamòn’s theorem

Every quadratic vector field in $\mathbb{R}^{2}$ has a finite number of limit cycles.[BR]

## Historical note

This theorem is weaker than Dulac’s theorem but at the time of the publication of [BR] there was a problem in the proof of Dulac’s theorem.

## References

• BR R. Bamòn: http://archive.numdam.org/ARCHIVE/PMIHES/PMIHES_1986__64_/PMIHES_1986__64__111_0/PMIHES_1986__64__111_0.pdfQuadratic vector fields in the plane have a finite number of limit cycles, Publ. I.H.E.S. 64 (1986), 111-142.
Title Bamòn’s theorem BamonsTheorem 2013-03-22 14:28:37 2013-03-22 14:28:37 Daume (40) Daume (40) 5 Daume (40) Theorem msc 34C07