Results in Physics ( IF 5.3 ) Pub Date : 2020-05-12 , DOI: 10.1016/j.rinp.2020.103158 Gang Zhang , Hui Wang , Tianqi Zhang
Stochastic resonance on under-damped nonlinear frequency fluctuation for coupled fractional-order linear particles is investigated. First, the average motions of the two coupled Brownian particles obtained by the random average method and the Shapiro-Loginov formula are completely synchronized. Then, on the basis of synchronization, the mathematical formula of the system output amplitude gain of one of the particles is calculated. Numerical simulation results show that there exist various stochastic resonance phenomena with system and noise parameters changing, such as double-peak SR (DSR), bona-fide resonance (BFR), and parameter-induced SR (PSR). The nonlinear noise coefficient plays a significant role in the system. Finally, the accuracy of theoretical analysis is verified by Simulink numerical simulation.
中文翻译:
耦合分数阶谐波振荡器欠阻尼非线性频率波动的随机共振研究
研究了耦合分数阶线性粒子在阻尼不足的非线性频率波动下的随机共振。首先,通过随机平均法和Shapiro-Loginov公式获得的两个耦合布朗粒子的平均运动完全同步。然后,在同步的基础上,计算出其中一个粒子的系统输出幅度增益的数学公式。数值模拟结果表明,随着系统和噪声参数的变化,存在多种随机共振现象,如双峰SR(DSR),真实共振(BFR)和参数感应SR(PSR)。非线性噪声系数在系统中起着重要作用。最后,通过Simulink数值模拟验证了理论分析的准确性。