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Creators/Authors contains: "Perkins, Edmon"

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  1. (, Mechanical Systems and Signal Processing)
    Free, publicly-accessible full text available June 1, 2026
  2. (, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences)
    Noise typically degrades the performance of physical systems. In some cases, however, noise can provide an enhanced effect. For instance, stochastic resonance may be observed in a nonlinear oscillator when a weak signal is boosted by noise. On the other hand, adaptive oscillators are a type of nonlinear oscillator that can learn and store information in dynamic states. Here, noise is shown to increase the learning rate of an adaptive oscillator, using a Duffing adaptive oscillator. To highlight this effect, stochastic simulations are employed, and the Fokker–Planck equation is semi-analytically solved using the cumulant neglect method. As adaptive oscillators can also be used as a powerful physical reservoir computer architecture, this work shows that the Duffing adaptive oscillator can be optimized for fast learning in noisy environments. 
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    Free, publicly-accessible full text available June 1, 2026
  3. (, Nonlinear Dynamics)
    Free, publicly-accessible full text available February 1, 2026
  4. (, Physical Review E)