Source: wikibot/bendixson-dulac-theorem
= Bendixson–Dulac theorem
{wiki=Bendixson–Dulac_theorem}
The Bendixson–Dulac theorem is a result in the field of dynamical systems and differential equations. It provides criteria to determine the existence of periodic orbits in a planar autonomous system of ordinary differential equations. Specifically, the theorem helps to identify non-existence of periodic orbits in a given planar system, which can be useful for analyzing the behavior of the system.