Bamòn’s theorem

Every quadratic vector field in 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.


  • BR R. Bamòn: 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
Canonical name BamonsTheorem
Date of creation 2013-03-22 14:28:37
Last modified on 2013-03-22 14:28:37
Owner Daume (40)
Last modified by Daume (40)
Numerical id 5
Author Daume (40)
Entry type Theorem
Classification msc 34C07