Geodesic
Finitely Smooth Normal Form of an Autonomous System with Two Pure Imaginary Roots
Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 270-281.

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We consider the problem of finitely smooth normalization of a system of ordinary differential equations whose linear part has two eigenvalues, while the other eigenvalues lie outside the imaginary axis.
Keywords: autonomous system of ODE, normal form, singular point, weakly degenerate system, finitely smooth equivalence. 
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V. S. Samovol. Finitely Smooth Normal Form  of an Autonomous System with Two Pure Imaginary Roots. Matematičeskie zametki, Tome 80 (2006) no. 2, pp. 270-281. http://geodesic.mathdoc.fr/item/MZM_2006_80_2_a12/

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