Bendixson transformation
From Encyclopedia of Mathematics
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=14360
Bendixson transformation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bendixson_transformation&oldid=14360
This article was adapted from an original article by A.F. Andreev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article