  We describe a variety of intriguing mode-coupling effects which can occur in
a confined Bose-Einstein condensed system at finite temperature. These arise
from strong interactions between a condensate fluctuation and resonances of the
thermal cloud yielding strongly non-linear behaviour. We show how these
processes can be affected by altering the aspect ratio of the trap, thereby
changing the relevant mode-matching conditions. We illustrate how direct
driving of the thermal cloud can lead to significant shifts in the excitation
spectrum for a number of modes and provide further experimental scenarios in
which the dramatic behaviour observed for the $m=0$ mode at JILA (Jin {\it et
al.} 1997) can be repeated. Our theoretical description is based on a
successful second-order finite-temperature quantum field theory which includes
the full coupled dynamics of the condensate and thermal cloud and all relevant
finite-size effects.
