Hysteresis studies in a noisy autoassociative neural network

Renuka Rai, Harjinder Singh · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2000

We define magnetization for a noisy autoassociative neural network driven by an external periodic field. Numerical simulations are carried out to investigate the effect of drive amplitude and frequency and noise strength on the area of the hysteresis loop. We observe that in the presence of weak periodic signal, the network exhibits a maximum in the hysteresis loop area at a nonzero noise intensity indicating maximum synchronization between the periodic signal and the response. It also goes through a maximum as a function of signal frequency.

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