Abstract
The new field of stochastic electronics, stochastic resonance and noise-activated transition, as induced by stochastic fluctuation, is delineated. We elucidate the experimental findings and stochastic analysis of the development of cognitive activation and information processing during the entire spectrum of the sleeping phases: sleep, dream and lucidity. We present the evolution graphs of the sleep-dream transition and dream-lucidity transition, derive their basic equations and describe them by stochastic transition dynamics, involving the relevant neuronal pathways. A stochastically activated information processing model of cognitive functioning across the sleep-dream-lucidity states is furnished. Utilizing the concepts of short and long term memories and a complex programming process, we show how stochastic fluctuation in neuronal systems can enhance cognitive processing and information consolidation. We adduce the relevance of interplay of stochastic activation and resonance between phasic and tonic neural noises, described by a noise: noise ratio (NNR). The scope of developing a novel field of stochastic computing machines, inspired by noise-neuron cooperation, is outlined.
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