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Symétrie et forme normale des centres et foyers dégénérés

Published online by Cambridge University Press:  19 September 2008

Robert Moussu
Robert Moussu
Affiliation:
Departement de Mathematiques, Laboratoire de Topologie, Universite de Dijon, 21004 Dijon Cedex
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Abstract

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Consider an analytic differential equation ο = adx + bdy with an algebraically isolated singularity and without a separatrix. The germ at 0∈ℝ2 of the 1-jet y dy is either a focus or a centre. The equation has C∞ normal form of the type = with F(x) = F(−x) if and only if the germ is a centre.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 2 , June 1982 , pp. 241 - 251
Copyright
Copyright © Cambridge University Press 1982

References

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