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Fig. 1
Vibrational resonance. Accurate numerical integrations of the original oscillatory differential equation and of the averaged system based on words with ≤ 2 letters for two different values of the parameter B that measures the amplitude of the background vibration. In each panel the oscillatory solution appears as a band due to its fast dynamics; the averaged solution (in the centre of the band) varies at a much lower rate. A small increase in B from B = 0.52 (top panel) to B = 0.53 (bottom panel) lets the oscillator make substantially wider excursions without having to increment the amplitude A of the applied forcing.