Yu Haitao, Wang Jiang, Du Jiwei, Deng Bin, Wei Xile, Liu Chen
School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, People's Republic of China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052917. doi: 10.1103/PhysRevE.87.052917. Epub 2013 May 28.
The effects of time delay and rewiring probability on stochastic resonance and spatiotemporal order in small-world neuronal networks are studied in this paper. Numerical results show that, irrespective of the pacemaker introduced to one single neuron or all neurons of the network, the phenomenon of stochastic resonance occurs. The time delay in the coupling process can either enhance or destroy stochastic resonance on small-world neuronal networks. In particular, appropriately tuned delays can induce multiple stochastic resonances, which appear intermittently at integer multiples of the oscillation period of the pacemaker. More importantly, it is found that the small-world topology can significantly affect the stochastic resonance on excitable neuronal networks. For small time delays, increasing the rewiring probability can largely enhance the efficiency of pacemaker-driven stochastic resonance. We argue that the time delay and the rewiring probability both play a key role in determining the ability of the small-world neuronal network to improve the noise-induced outreach of the localized subthreshold pacemaker.
本文研究了时间延迟和重连概率对小世界神经元网络中随机共振和时空秩序的影响。数值结果表明，无论将起搏器引入网络中的单个神经元还是所有神经元，都会出现随机共振现象。耦合过程中的时间延迟既可以增强也可以破坏小世界神经元网络上的随机共振。特别是，适当调整的延迟可以诱发多个随机共振，这些共振以起搏器振荡周期的整数倍间歇性出现。更重要的是，发现小世界拓扑结构可以显著影响可兴奋神经元网络上的随机共振。对于小时间延迟，增加重连概率可以在很大程度上提高起搏器驱动的随机共振效率。我们认为，时间延迟和重连概率在确定小世界神经元网络改善局部阈下起搏器噪声诱导的外展能力方面都起着关键作用。
