  We study, using information quantifiers, the dynamics generated by a special
Hamiltonian that gives a detailed account of the interaction between a
classical and a quantum system. The associated, very rich dynamics displays
periodicity, quasi-periodicity, not-boundedness, and chaotic regimes.
Chaoticity, together with complex behavior, emerge in the proximity of an
unstable entirely quantum instance. Our goal is to compare the statistical
description provided by Tsallis quantifiers vis a vis that obtained with
Shannon's entropy and Jensen's complexity.
