四川大学学报（自然科学版）2026，Vol.63Issue(4)：851-861,11.DOI:10.19907/j.0490-6756.240248
具阻尼涨落的时滞分数阶耦合谐振子系统的随机共振
Stochastic resonance in a coupled fractional harmonic oscillators system with time-delay and fluctuating damping
摘要
Abstract
In this paper,the stochastic resonance(SR)in a coupled fractional harmonic oscillators system with fluctuating damping is investigated in the presence of time-delay.By using the small delay approximation and stochastic averaging methods,the complete synchronization of the oscillators is obtained,which allows us to study the dynamical behaviors of mean-field of system through the dynamical behaviors of individual os-cillator.Analytic expression for the output amplitude gain(OAG)of the mean-field is obtained.By using OAG as the measure,the effects of noise,time-delay,coupling,fractional order and driving force on the SR of system are addressed.The main results are as follows.(i)There are non-monotonic dependences of OAG on the noise intensity,the driving frequency and the noise correlation rate,which indicates the presence of generalized stochastic resonance(GSR).(ii)The cooperation of time-delay,fractional order and coupling strength can not only induce diverse GSR behaviors,but also enhance the SR of system.关键词
随机共振/时滞/阻尼涨落/分数阶耦合谐振子系统Key words
stochastic resonance/time-delay/fluctuating damping/coupled fractional harmonic oscillators system分类
数理科学引用本文复制引用
唐艳,田艳..具阻尼涨落的时滞分数阶耦合谐振子系统的随机共振[J].四川大学学报（自然科学版）,2026,63(4):851-861,11.基金项目
国家自然科学基金(12471503) （12471503）
四川省优质研究生教改项目(YJGXM25-C067) （YJGXM25-C067）
西南石油大学研究生教研教改项目(2024JGZD027) （2024JGZD027）
