Authors: Bronshteyn I., Kopanskii A.
Abstract
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
str. Academiei 5, Kishinev, MD-2028 Moldova