  This paper explores how orbits in a galactic potential can be impacted by
large amplitude time-dependences of the form that one might associate with
galaxy or halo formation or strong encounters between pairs of galaxies. A
period of time-dependence with a strong, possibly damped, oscillatory component
can give rise to large amounts of transient chaos, and it is argued that
chaotic phase mixing associated with this transient chaos could play a major
role in accounting for the speed and efficiency of violent relaxation. Analysis
of simple toy models involving time-dependent perturbations of an integrable
Plummer potential indicates that this chaos results from a broad, possibly
generic, resonance between the frequencies of the orbits and harmonics thereof
and the frequencies of the time-dependent perturbation. Numerical computations
of orbits in potentials exhibiting damped oscillations suggest that, within a
period of 10 dynamical times t_D or so, one could achieve simultaneously both
`near-complete' chaotic phase mixing and a nearly time-independent, integrable
end state.
