  We study the dynamics and redistribution of entanglement and coherence in
three time-dependent coupled harmonic oscillators. We resolve the
Schr\"{o}dinger equation by using time-dependent Euler rotation together with a
linear quench model to obtain the state of vacuum solution. Such state can be
translated to the phase space picture to determine the Wigner distribution. We
show that its Gaussian matrix $\mathbb{G}(t)$ can be used to directly cast the
covariance matrix $\sigma(t)$. To quantify the mixedness and entanglement of
the state one uses respectively linear and von Neumann entropies for three
cases: fully symmetric, bi-symmetric and fully non symmetric. Then we determine
the coherence, tripartite entanglement and local uncertainties and derive their
dynamics. We show that the dynamics of all quantum information quantities are
driven by the Ermakov modes. Finally, we use an homodyne detection to
redistribute both resources of entanglement and coherence.
