Issue
EPL
Volume 82, Number 3, May 2008
Article Number 38003
Number of page(s) 5
Section Interdisciplinary Physics and Related Areas of Science and Technology
DOI http://dx.doi.org/10.1209/0295-5075/82/38003
Published online 23 April 2008
EPL, 82 (2008) 38003
DOI: 10.1209/0295-5075/82/38003

Fast synchronization in neuronal networks

G. X. Qi1, H. B. Huang1, L. Chen1, H. J. Wang2 and C. K. Shen3

1  Department of Physics, Southeast University - Nanjing 210096, China
2  Department of Physics, Nanjing Xiaozhuang University - Nanjing 210017, China
3  Department of Physics, Nanjing University of Technology - Nanjing 210009, China

hongbinh@seu.edu.cn

received 2 January 2008; accepted in final form 14 March 2008; published May 2008
published online 23 April 2008

Abstract
We study the fast synchronization in complex networks of coupled Hindmarsh-Rose neurons. The relation between the maximal Lyapunov exponent corresponding to the least stable transverse mode and the speed of synchronization is given, based on which we can obtain an optimal value of global coupling strength, with which the network synchronizes with the minimal synchronization time. The speed limits of several kinds of complex networks (small-world, scale-free, and modular) with different eigenratios are studied. Finally, we extend to the modified Hodgkin-Huxley neuron case.

PACS
87.19.L- - Neuroscience.
05.45.Xt - Synchronization; coupled oscillators.

© EPLA 2008