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Effects of Additive Gaussian Noise on Neuronal Firings in a Heterogeneous Neuronal Network

  • Xiaojuan SunEmail author
  • Shujuan Lü
  • Qishao Lu
Conference paper

Abstract

The effects of additive Gaussian white noise on neuronal firings of a heterogeneous neuronal network are discussed in this paper. Heterogeneity is introduced through a multiplicative noise term. We show that the mean firing rate and spatiotemporal order of the studied network can attach to a maximum value at some intermediate noise intensities of the additive noise. Furthermore, we find that the optimal noise intensity needed increases with the coupling strength of the neuronal network. And we also give some comparisons with other works.

Keywords

Spatiotemporal order Mean firing rate Neuronal network 

Notes

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Nos.10872014 and 10972018).

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Zhou Pei-Yuan Center for Applied MathematicsTsinghua UniveristyBeijingChina
  2. 2.Department of Dynamics and ControlBeihang UniversityBeijingChina
  3. 3.School of Mathematics and System ScienceBeihang UniversityBeijingChina

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