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There is a large variation between individuals in how long stable percepts endure, on average, between switches, but the underlying neural basis of this individual difference in perceptual dynamics remains obscure. Here, we show that in one widely studied multistable paradigm\u2013binocular rivalry\u2013perceptual stability in individuals is predicted by the frequency of their neural oscillations within the alpha range (7\u201313\u2009Hz). 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