%0 Journal Article
%T Overdamped fractional Langevin equation and its stochastic resonance<br>过阻尼分数阶Langevin方程及其随机共振
%A Gao Shi-Long
%A Zhong Su-Chuan
%A Wei Kun
%A Ma Hong
%A <br>高仕龙
%A 钟苏川
%A 韦鹍
%A 马洪
%J 物理学报
%D 2012
%I 
%X By choosing an appropriate damping kernel function of generalized Langevin equation, fractional Langevin equation (FLE) is derived in the case of overdamped condition. With the theory of anomalous diffusion and the memory of fractional derivatives, the physical meaning of FLE is discussed. Moreover, the internal mechanism of stochastic resonance about FLE is obtained. Finally, the numerical simulation shows that in a certain range of the order, stochastic resonance appears in FLE, and it is evident that the SNR gain in fractional Langevin equation is better than that of the integer-order situation.
%K stochastic resonance
%K fractional Langevin equations
%K bistable system
%K memory<br>随机共振
%K 分数阶Langevin方程
%K 双稳系统
%K 记忆性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=78F360FC29C4791128C9B9C5D0734FA4&yid=99E9153A83D4CB11&vid=1D0FA33DA02ABACD&iid=F3090AE9B60B7ED1&sid=1FF9C6956124B89F&eid=1FF9C6956124B89F&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=24