Logic Stochastic Resonance Induced by a Nonlinear Fractional Bistable System
ZHENG Yong-jun1,2,ZHU Zeng-xian2,ZHU Shan-an1
1. College of Electrical Engineering, Zhejiang University, Hangzhou, Zhejiang 310027, China
2. College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou, Zhejiang 310018, China
Abstract：Based on the logic stochastic resonance of integer-order Langevin equation, a fractional-order Langevin equation is constructed. A simulation verification for the nonlinear fractional bistable system based on this equation is carried out, and the impact on logic stochastic resonance phenomenon when changing fractional order and system parameters is analyzed. The results show that when the fractional order is less than the critical value, even if no additional Gaussian white noise or weak periodic signal the logical stochastic resonance phenomenon can be observed; when the fractional order is greater than the critical value, the additional Gaussian white noise or weak periodic signal is necessary in order to achieve logical stochastic resonance, the success rate of logical output can be increased by selecting appropriate noise intensity, amplitude and frequency of weak periodic signal.
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2017, Vol. 38 
