Abstract
An overdamped bistable system driven by a high-frequency periodic source and weak aperiodic logical inputs is investigated to find out that a sufficient condition for the emergence of noise-free logical stochastic resonance (NFLSR). By analyzing NFLSR in detailed, we proposed two essential features, the sign invariant and the initial value independent features, which can be regarded as a general principle to obtain potential logical systems. Applying the two features to the approximation solution of the overdamped bistable system, we obtained the sufficient conditions of the emergence of NFLSR, and the numerical simulations are in agreement with the analytical results. The sufficient conditions show us that a suitable periodic source can lead to the desired logic gate robustly near the pitchfork bifurcation point. This study can be used to complement the logical stochastic resonance response in the situation where noise is subthreshold, and besides, it also provides the principle and insights to effectively control or find out potential logical systems.
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