  The multi-particle Arnol'd cat is a generalization of the Hamiltonian system,
both classical and quantum, whose period evolution operator is the renown map
that bears its name. It is obtained following the Joos-Zeh prescription for
decoherence, by adding a number of scattering particles in the configuration
space of the cat. Quantization follows swiftly, if the Hamiltonian approach,
rather than the semiclassical, is adopted. I have studied this system in a
series of previous works, focusing on the problem of quantum-classical
correspondence. In this paper I test the dynamics of this system by two related
yet different indicators: the time autocorrelation function of the canonical
position and the out of time correlator of position and momentum.
