Geodesic
Martinet~--- Ramis modulus for a quadratic system
Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 3, pp. 86-91.

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The polynomial differential equations of order 2 are considered. So we used correspondence map and normalizing transformation to get coefficients of Martinet — Ramis modulus.
Keywords: Martinet — Ramis modulus, saddlenode, central manifold. 
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M. M. Turov. Martinet~--- Ramis modulus for a quadratic system. Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 3, pp. 86-91. http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_3_a6/

[1] J. P. Jouanolou, “Equations de Pfaff Algebriques”, Lecture Notes in Mathematics, 708, 1979, 157–198 | DOI | MR

[2] J. Martinet, J.-P. Ramis, “Classification analytique des equations differentielles non lineaires resonnantes du premier ordre.”, Annales scientifiques de l'École normale supérieure, 16 (1983), 571–621 | MR | Zbl