Construct · 1 fields · 1 citations

Bendixson-Dulac criterion: a standalone construct

One name. One construct. A landmark on the map.

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Dynamical systems

a test that rules out periodic orbits in a planar region when the divergence of a possibly weighted vector field keeps one sign there.

In dynamical systems, Bendixson-Dulac criterion refers to a test that rules out periodic orbits in a planar region when the divergence of a possibly weighted vector field keeps one sign there. This meaning comes from Bendixson (1901) in Acta Mathematica.[1]

Unit
Recovery means
Measured by

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Nearby constructs

Poincaré-Bendixson theorem1 fields · 1 citationsanchor · a standalone construct divergence4 fields · 4 citationsjingle · one word, four constructs dynamics3 fields · 3 citationsjingle · one word, three constructs

References

Bendixson, I. (1901). Sur les courbes définies par des équations différentielles. Acta Mathematica, 24(0), 1-88. https://doi.org/10.1007/bf02403068

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