  We study the influence of a chaotic environment in the evolution of an open
quantum system. We show that there is an inverse relation between chaos and
non-Markovianity. In particular, we remark on the deep relation of the short
time non-Markovian behavior with the revivals of the average fidelity
amplitude-a fundamental quantity used to measure sensitivity to perturbations
and to identify quantum chaos. The long time behavior is established as a
finite size effect which vanishes for large enough environments.
