In each of these periods, output slowed or even fell very briefly, the rate of unemployment stopped falling and/or rose, and inflation moderated. The 2000/01 episode was notable in that it coincided with a downturn in the major countries.
It was very unusual for Australia not to have a recession in such circumstances, though as it was, the rate of unemployment rose by about a percentage point in the space of a year. One aspect that helped us on that occasion was that the downturn in many of the major countries was not an especially deep one.