Bendixson-Dulac theorem Guide, Meaning , Facts, Information and Description

In mathematics, the Bendixson-Dulac theorem on dynamical systems states that if there exists φ(x,y)

almost everywhere in the region of interest, then the plane autonomous system

has no periodic solutions. "Almost everywhere" can mean everywhere except possibly a set of area 0, such as a point or line. This can be proved by Green's theorem.

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