Normal forms for certain singularities of vectorfields
Annales de l'Institut Fourier, Volume 23 (1973) no. 2, pp. 163-195.

C normal forms are given for singularities of C vectorfields on R, which are not flat, and for C vectorfields X on R 2 with X(0)=0, the 1-jet of X in the origin is a pure rotation, and some higher order jet of X attracting or expanding.

On donne des formes normales C pour les singularités des champs C sur R qui ne sont pas plats et pour les champs C ,X sur R 2 , tels que X(0)=0 ; le jet d’ordre un de X (dans l’origine) est une rotation pure et un jet d’ordre supérieur de X contient une contraction ou une expansion.

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     author = {Takens, Floris},
     title = {Normal forms for certain singularities of vectorfields},
     journal = {Annales de l'Institut Fourier},
     pages = {163--195},
     publisher = {Imprimerie Durand},
     address = {28 - Luisant},
     volume = {23},
     number = {2},
     year = {1973},
     doi = {10.5802/aif.467},
     zbl = {0266.34046},
     mrnumber = {51 #1872},
     language = {en},
     url = {https://aif.centre-mersenne.org/articles/10.5802/aif.467/}
}
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Takens, Floris. Normal forms for certain singularities of vectorfields. Annales de l'Institut Fourier, Volume 23 (1973) no. 2, pp. 163-195. doi : 10.5802/aif.467. https://aif.centre-mersenne.org/articles/10.5802/aif.467/

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