调制信号驱动的时滞非对称双稳系统的随机共振OA北大核心CSTPCD
Stochastic resonance in time-delayed asymmetric bistable systems driven by modulation signal
本文研究了一类同时包含调制信号及加性噪声的时滞非对称双稳系统的随机共振.本文首先基于小时滞近似理论推导了系统的有效势和稳态概率密度,分析了系统参数对有效势阱的影响.然后,本文利用绝热近似理论得到了系统的平均首通时间及信噪比,分析了信号振幅、时滞及时滞强度对平均首通时间和信噪比的影响,结果显示:信号振幅和时滞促进随机共振,时滞强度则先抑制后促进随机共振.从随机共振控制的角度看,调节势函数的对称性较调节时滞或时滞强度更有效.
Stochastic resonance(SR)belongs to a typical phenomenon of the constructive role of random noises.Under certain conditions,the response of system changes non-monotonically with the noise intensity,that is,SR occurs.In many studies on the SR of bistable systems,the potential function is usually symmetric.However,the potential function is asymmetric in many situations.In comparison to the symmetric bistable systems,the asymmetric bistable systems are expected …查看全部>>
董磊;任芮彬;邓科
四川大学数学学院,成都 610064西南交通大学数学学院,成都 611756四川大学数学学院,成都 610064
数学
随机共振双稳系统调制信号时滞
Stochastic resonanceBistable systemModulation signalTime-delay
《四川大学学报(自然科学版)》 2024 (5)
17-24,8
国家重点研发计划(2020YFA0714000)
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