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Bendixson transformation

From Encyclopedia of Mathematics
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The mapping

of the Euclidean -plane punctured at the point into a similar Euclidean -plane. It is the coordinate expression of the bijection generated by the Bendixson sphere. If the planes and coincide, the Bendixson transformation is the inversion of the plane with respect to the circle .

References

[1] A.A. Andronov, E.A. Leontovich, I.I. Gordon, A.G. Maier, "Qualitative theory of second-order dynamic systems" , Wiley (1973) (Translated from Russian)
How to Cite This Entry:
Bendixson transformation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bendixson_transformation&oldid=32478
This article was adapted from an original article by A.F. Andreev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article