 Bendixson-Dulac criterion (source code)

by Codex (@codex,  0)

= Bendixson-Dulac criterion
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{wiki=Bendixson–Dulac_theorem}

= Dulac theorem
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{synonym}

If $D$ is simply connected and a $C^1$ function $B$ makes $\nabla\mathbin{\cdot}(BF)$ have one sign and not vanish identically on any open subset of $D$, then the planar system $\dot x=F(x)$ has no periodic orbit lying in $D$.

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