物理学报Issue(22)：1-8,8.DOI:10.7498/aps.63.220503
非对称双稳耦合网络系统的尺度随机共振研究
System size sto chastic resonance in asymmetric bistable coupled network systems
摘要
Abstract
In this paper, the noise-induced dynamics is studied in an asymmetric bistable coupled network system modulated by different signals. According to the Gaussian approximation and the slaving principle, the asymmetric bistable coupled network system is reduced to a low-dimensional model with two potentials, by which the phenomenon of system size stochastic resonance is studied theoretically and numerically. Under the assumption of adiabatic limit, the expressions of signal-to-noise ratio (SNR) are found by virtue of Fokker-Planck equation with respect to cosine signal and rectangle signal, based on which the system size stochastic resonance is investigated. Further, the effects of the noise strength, the asymmetry and the amplitude of the signal on the system size stochastic resonance are well discussed. It is demonstrated that the SNR shows a non-monotonic dependence on the number of coupled systems, which is demonstrated that there is a resonance with respect to the number of coupled systems.关键词
尺度随机共振/非对称双稳耦合网络系统/余弦信号/矩形信号Key words
system size stochastic resonance/asymmetric bistable coupled network systems/cosine signal/rectangle signal引用本文复制引用
孙中奎,鲁捧菊,徐伟..非对称双稳耦合网络系统的尺度随机共振研究[J].物理学报,2014,(22):1-8,8.基金项目
国家自然科学基金(批准号:11272258,11102156)和陕西省青年科技新星和西北工业大学基础研究基金资助的课题.* Project supported by the National Natural Science Foundation of China (Grant Nos.11272258,11102156), the Shaanxi Project for Young New Star in Science and Technology and the Northwestern Polytechnical University Foundation for Fundamental Research, China （批准号:11272258,11102156）
