Exact conditions for the synchronization of the Oscillations of a linear resistanceless

circuit to a harmonic/subharmonic of the frequency of the capacitance variation are derived for the case of a periodically pulsed capacitance. It is shown that the magnitude of the largest undesired spectral component relative to that of the desired output is given by

, where

is determined by numerical computation for several

, and

is the fractional offset of the resonant frequency from the Nth harmonic of half the synchronization frequency.