Several experimental effects that occur in tapping-mode atomic force micros
copy are examined: apparent hysteresis effects in force probes and frequenc
y sweeps and distortions in imaging. It is found through examinations of th
e phase space that they can all be reduced to one common cause: the existen
ce of more than one stable state of the tip vibration for certain parameter
s. It is shown that the experimental effects can be explained considering o
nly the phase space under the assumption that measurement noise exists. Num
erical simulations confirm the theoretical and experimental findings. (C) 1
999 American Institute of Physics. [S0021-8979(99)06010-7].