Differentiable conjugacy of the Poincaré type vector fields on $\mathbf \{R\}^3$
Differentiable conjugacy of the Poincaré type vector fields on $\mathbf \{R\}^3$
We prove that on ${\mathbf R}^3$, except for those germs of vector fields whose linear parts are conjugated to $\lambda x\partial /\partial x +\lambda y \partial /\partial y +2\lambda z \partial /\partial z$, any two Poincaré type vector fields are at least $C^3$ conjugated to each other provided their linear …