With the aim of confirming the view that the sensitivity of the perceptive apparatus of the cortex changes as the phases of the alpha rhythm alternate, with corresponding changes in the accuracy of visual recognition, online monitoring of changes in wave phases was used for presentation of brief stimuli with high-accuracy timing of delivery at the middle of the alpha-wave rise phase or at the middle of the decay phase. A total of 15 essentially healthy subjects (five men, 10 women) took part in the experiments. Before experiments, subjects performed tests for anxiety, extraversion, and neuroticism. Stimulation was controlled using EEG traces from visual area O2, where alpha-rhythm amplitude is maximal. Performance success (drawing by hand) was compared for presentation of sample lines at different phases of alpha waves. Samples of different lengths were used. Most subjects (14 out of 15) reproduced segments shorter than the samples when stimulation was applied in either wave phase. This was less marked in the decay phase (positivization), i.e., lines were longer and closer to the sample, than in the alpha-wave rise phase (especially for large samples). This difference in stimulation conditions was smaller in subjects with low psychoemotional stability.