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Subjects
58-XX Global analysis, analysis on manifolds
58Dxx Spaces and manifolds of mappings (including nonlinear versions of )
58D99 None of the above, but in this section

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Normal forms for certain singularities of vectorfields

Floris Takens (1973)

Annales de l'institut Fourier

$C^{\infty}$ normal forms are given for singularities of $C^{\infty}$ vectorfields on $R$ , which are not flat, and for $C^{\infty}$ 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.

Note on the Linear Endomorphisms of a Vector Bundle.

Pierre B.A. Lecompte (1980)

Manuscripta mathematica

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