letLet $X$ and $Y$ be $C^1$ vector feilds on $R^m$. Suppose that $0$ is an attracting hyperbolic singularity for $X$ and $Y$. Show that there exists a homemorphism $h$ of a neighborhood of origin which conjugate the diffmorphismsdiffeomorphisms $X1$ and $Y1$ but does not take orbits of $X$ to orbits of $Y$.
Martin Sleziak
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