Comparison of stochastic adaptation and stochastic resonance

Stochastic resonance is a phenomenon possessed by some nonlinear oscillators, in which a weak signal is boosted by noise. Both the monostable and bistable Duffing oscillators can exhibit this property. However, stochastic resonance has a strong frequency-dependence, as only a band of frequencies may be boosted by noise. Adaptive oscillators are a subset of nonlinear oscillators that can learn the features of an external force. Here, an adaptive state is added to a Duffing oscillator. This adaptive state enables the Duffing adaptive oscillator to outperform stochastic resonance over a wide range of frequencies by learning a resonance condition. locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon Physics Subject Headings (PhySH)Fluctuations & noiseNeuronal dynamicsNoiseNoise-induced transitionsSynchronizationStochastic dynamical systemsStochastic analysisStochastic differential equations