摘要
本文研究了以捕食-食饵模型为基础的肿瘤增长系统在非高斯噪声及高斯噪声联合作用下的随机共振,根据路径积分法及绝热近似理论得到了信噪比的解析表达式,进而研究了关联非高斯噪声与高斯噪声及周期信号对系统随机共振的影响.研究结果表明:信噪比曲线在乘性噪声强度、加性噪声强度及非高斯参数q的影响下均出现了多重随机共振现象.此外,噪声关联强度和噪声自关联时间都能够增强随机共振现象.
Stochastic resonance and stochastic multi-resonance of a cancer growth model modulated by non-Gaussian noise and Gaussian noise are investigated in terms of the path integral approach and the adiabatic limit. The expression of signal-to-noise ratio (SNR) is obtained. The numerical results indicate that the SNR exhibits stochastic multi-resonance behavior when the SNR is a function of the multiplicative noise intensity, additive noise intensity, or the parameter of the non-Gaussian noise q. Meanwhile, it is also shown that the cross-correlation intensity and the self-correlation time can enhance the phenomenon of stochastic resonance.
作者
张晓燕
岳红云
ZHANG Xiao-Yan;YUE Hong-Yun(Department of Mathematics, Xi'an University of Architecture and Technology, Xi'an 710055, China)
出处
《四川大学学报(自然科学版)》
CAS
CSCD
北大核心
2018年第4期667-672,共6页
Journal of Sichuan University(Natural Science Edition)
基金
国家自然科学基金青年基金(11702206)
国家自然科学基金天元基金(11626183)
陕西省教育厅基金(2013JK0585
16JK1435)
西安建筑科技大学校基金(QN1437)
关键词
多重随机共振
肿瘤增长系统
非高斯噪声
信噪比
Stochastic multi-resonace
Cancer growth system
Non-Gaussian noise
Signal-to-noise ratio