Because flowmaps are homeomorphic maps, I was wondering if there is any literature that proves that diffeomorphism $\Phi(x)$ can be expressed as a flowmap of a certain dynamical system?

that is, does there exist $\dot z(t)=v(z(t))$ with initial value $z(0)=x$ such that $\Phi(x)=\phi_v^\tau(x)$ where $\phi_v^\tau(x)=z(\tau)$?