IMCS/Publications/BASM/Issues/BASM n.1 (26), 1998/

Smooth linearization near a three-dimensional saddle. (English)

Authors: Bronshteyn I., Kopanskii A.


The paper deals with the problem of finitely smooth linearization [1, 2] of 3$D$ polynomial differential equations near a saddle singular point. A new simple-looking sufficient condition for $C^k$ linearization is proposed which improves some results obtained by Bonckaert [3] and ElBialy [4]. The proof is based on a thorough analysis of the corresponding results presented in [2, Theorem II.7.29].

Institute of Mathematics Academy of Science of Moldova
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