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