Stochastic Resonance in Neural Systems with Small-World Connections  

作　　者：袁五届 罗晓曙 杨仁桓 

机构地区：[1]College of Physics and Electronic Engineering, Guangxi Normal University, Guilin 541004 [2]Department of Physics, Huaibei Coal Industry Teachers' College, Huaibei 235000

出　　处：《Chinese Physics Letters》2007年第3期835-838,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 70571017 and 10247005, the Innovation Project of Guangxi Graduate Education under Grant No 2006106020809M36, and Key Project of the National Natural Science Foundation of China under Grant No 70431002.

摘　　要：We study the stochastic resonance （SR） in Hodgkin-Huxley （HH） neural systems with small-world （SW） connections under the noise synaptic current and periodic stimulus, focusing on the dependence of properties of SR on coupling strength c. It is found that there exists a critical coupling strength c^＊ such that if c 〈 c^＊, then the SR can appear on the SW neural network. Especially, dependence of the critical coupling strength c^＊ on the number of neurons N shows the monotonic even almost linear increase of c^＊ as N increases and c^＊ on the SW network is smaller than that on the random network. For the effect of the SW network on the phenomenon of SR, we show that decreasing the connection-rewiring probability p of the network topology leads to an enhancement of SR. This indicates that the SR on the SW network is more prominent than that on the random network （p = 1.0）. In addition, it is noted that the effect becomes remarkable as coupling strength increases. Moreover, it is found that the SR weakens but resonance range becomes wider with the increase of c on the SW neural network.We study the stochastic resonance （SR） in Hodgkin-Huxley （HH） neural systems with small-world （SW） connections under the noise synaptic current and periodic stimulus, focusing on the dependence of properties of SR on coupling strength c. It is found that there exists a critical coupling strength c^＊ such that if c 〈 c^＊, then the SR can appear on the SW neural network. Especially, dependence of the critical coupling strength c^＊ on the number of neurons N shows the monotonic even almost linear increase of c^＊ as N increases and c^＊ on the SW network is smaller than that on the random network. For the effect of the SW network on the phenomenon of SR, we show that decreasing the connection-rewiring probability p of the network topology leads to an enhancement of SR. This indicates that the SR on the SW network is more prominent than that on the random network （p = 1.0）. In addition, it is noted that the effect becomes remarkable as coupling strength increases. Moreover, it is found that the SR weakens but resonance range becomes wider with the increase of c on the SW neural network.

关 键 词：COHERENCE RESONANCE FIRE NEURON LEAKY INTEGRATE NETWORKS MODELS NOISE SYNCHRONIZATION ENSEMBLE DYNAMICS SIGNALS 

分 类 号：O45[理学—无线电物理]