Geodesic
Normal Form of Autonomous Systems with One Zero Eigenvalue
Matematičeskie zametki, Tome 75 (2004) no. 5, pp. 711-720.

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We consider smooth normalization problems for systems of ordinary differential equations whose linear part has one zero eigenvalue, while the other eigenvalues lie outside the imaginary axis. 
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V. S. Samovol. Normal Form of Autonomous Systems with One Zero Eigenvalue. Matematičeskie zametki, Tome 75 (2004) no. 5, pp. 711-720. http://geodesic.mathdoc.fr/item/MZM_2004_75_5_a7/

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