四川大学学报（自然科学版）2024，Vol.61Issue(1)：35-43,9.DOI:10.19907/j.0490-6756.2024.011005
含信号调制噪声和频率波动的时滞分数阶振子的随机共振
Stochastic resonance of a time-delayed fractional oscillator with fluctuating frequency and signal-modulated noise
摘要
Abstract
In this paper,stochastic resonance(SR)of time-delayed linear fractional oscillators subjected to both frequency-modulated and signal-modulated noises is investigated.By using the(fractional)Sha-piro-Loginov formula and Laplace transform technique,the analytical expression of the output amplitude gain(OAG)is firstly derived,and the dependence of OAG on the system parameters such as fractional order,time delay and the parameters of noises is explored.It is shown that every dependence is non-monotonic,say,generalized stochastic resonance(GSR)happens.Particularly,cooperation of fractional order and time delay may result in diverse GSR behaviors of the system.In other word,the GSR behav-iors can be controlled just by the system parameters.关键词
广义随机共振/线性分数阶振子/频率涨落/信号调制噪声/时滞Key words
Generalized stochastic resonance/Linear fractional oscillator/Frequency fluctuation/Signal-modulated noise/Time delay分类
数理科学引用本文复制引用
何敏玥,王会琦,林丽烽,钟苏川..含信号调制噪声和频率波动的时滞分数阶振子的随机共振[J].四川大学学报（自然科学版）,2024,61(1):35-43,9.基金项目
国家自然科学基金(72071019,11701086) （72071019,11701086）
福建省自然科学基金(2020J01575) （2020J01575）
福建农林大学创新基金(KFb22093XA) （KFb22093XA）
重庆市自然科学基金(cstc2017jcyjAX0412) （cstc2017jcyjAX0412）
四川省自然科学基金(2022NSFSC1952) （2022NSFSC1952）
