Logic Stochastic Resonance Induced by a Fractional Bistable System under alpha-stable Noise

Yongjun Zheng

Abstract


The logic stochastic resonance (LSR) phenomenon induced in a double well nonlinear system that is described by an over-damped fractional Langevin equation with -stable noise is investigated in this paper. Using the probability of the correct logic output to measure the influence of a-stable noise on the LSR phenomenon, we explore the functions of fractional order m, characteristic exponent a, skewness parameter b in inducing LSR phenomenon. The results show that by adjusting the order of the system LSR phenomenon can be induced, in a suitable range of the noise; fractional order m, characteristic exponent a and skewness parameter b have function in inducing LSR phenomenon. These studies will be contributed to select reasonable parameters in the applications of fractional order logic stochastic resonance, and lay the foundation for a chip manufacturing application based on the principle of LSR phenomenon.


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