Logical stochastic resonance in a nonlinear fractional-order system

作者: Mingjie Hou , Jianhua Yang , Shuai Shi , Houguang Liu

DOI: 10.1140/EPJP/S13360-020-00770-5

关键词: AlgorithmValue (computer science)Function (mathematics)Interval (mathematics)Fractional-order systemStochastic resonanceMeasure (mathematics)MathematicsNonlinear systemWhite noise

摘要: We investigate logical stochastic resonance (LSR) in a nonlinear fractional-order system with an asymmetric bistable potential function. use the success probability of output to measure operation ability system. If is 1, presents reliable LSR completely. When there are only two signals existing excitation, can be realized by varying value fractional order or bias relatively large, performs correct operations more easily. With increase bias, interval corresponding increases first and then decreases. both Gaussian white noise exist intervals decrease intensity. In addition, order, maximal also increases. Further, usually accurate when lies [1, 1.5]. The results expand achievements LSR. They provide reference choosing optimal

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