Geodesic
Normal forms of the degenerate differential autonomous and non autonomous equations with the maximal Jordan chain of length two and~three
The Bulletin of Irkutsk State University. Series Mathematics, Tome 12 (2015), pp. 58-71

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Standard methods of normal form construction are adapted for degenerate differential equations in the case of the existence of maximal length Jordan chain. For $n=2$ and $3$ examples are considered. Some of indicated normal forms are obtained for non autonomous systems at the usage of determined in the article differential Jordan chains.
Keywords: degenerate differential equations, normal forms, differential Jordan chains.
Mots-clés : Jordan chains 
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     author = {B. V. Loginov and Yu. B. Rousak and L. R. Kim-Tyan},
     title = {Normal forms of the degenerate differential autonomous and non autonomous equations with the maximal {Jordan} chain of length two and~three},
     journal = {The Bulletin of Irkutsk State University. Series Mathematics},
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B. V. Loginov; Yu. B. Rousak; L. R. Kim-Tyan. Normal forms of the degenerate differential autonomous and non autonomous equations with the maximal Jordan chain of length two and~three. The Bulletin of Irkutsk State University. Series Mathematics, Tome 12 (2015), pp. 58-71. http://geodesic.mathdoc.fr/item/IIGUM_2015_12_a5/