We study associative-memory properties of networks of neural oscillato
rs which are described by the phase degrees of freedom (phase-rotators
). It is shown that a certain network of phase rotators exhibits an as
sociative-memory function created by the cessation of oscillations rat
her than the synchronization. The phenomenon corresponds to the memory
retrieval by oscillator death. The equilibrium properties of the mode
l network are both analytically and numerically investigated using the
self-consistent signal-to-noise analysis which was proposed for the a
nalogue-neuron networks with a wide class of input-output functions of
a neuron. Besides the standard type of storage capacity which ensures
the presence of retrieval solutions, there exists another critical st
orage level below which the network ceases to have perfect cessation o
f oscillations in retrieval. A similar critical storage level is obtai
ned for spin glass solutions.