论文信息 - Symétrie et forme normale des centres et foyers dégénérés

Symétrie et forme normale des centres et foyers dégénérés

Consider an analytic differential equation ο = adx + bdy with an algebraically isolated singularity and without a separatrix. The germ at 0∈ℝ 2 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.

R. Moussu | Robert Moussu

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