Realizing reliable logical stochastic resonance under colored noise by adding periodic force

Some noisy nonlinear systems could be exploited to operate as reliable logic gate in an optimal window of noise intensity, which is termed as logical stochastic resonance (LSR). Recent studies show that under additive colored noise,the reliable logic operation cannot be obtained when correlation time is in intermediate or large range. In the paper, the LSR effect in bistable systems driven by colored noise is investigated by adding periodic force. In contrast with the case without periodic force, we show that the optimal band of correlation time that can output reliable logic response is extend to a larger range. Two kinds of LSR effect are presented. It has been found that the reliable logic operation can be obtained in an optimal window of noise intensity, as well as correlation time. We show that one can obtain the desired logic response by adjusting the correlation time and periodic force. Compared with the case under white case and periodic force, the system can operates reliably at higher noise levels, due to the constructive interplay of colored noise and periodic force. These results show that the system under colored noise can work reliably as logic gate by adding periodic force.