  Discrete autonomous dynamical systems in dimension 1 can exhibit chaotic
behavior, whereas the corresponding continuous evolution equations rule it out,
and cannot even possess a nontrivial periodic solution.
  Therefore the passage from discrete to continuous equations (and conversely)
is all but harmless. We address this issue and evidence some caveats on the
paradigmatic
  Verhulst logistic equation, investigating in particular the status and
influence of the actual size of the unit time step in discrete modelings,
rooted in well-known numerical analysis.
