Fast synchronization in neuronal networksG. 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
received 2 January 2008; accepted in final form 14 March 2008; published May 2008
published online 23 April 2008
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.
87.19.L- - Neuroscience.
05.45.Xt - Synchronization; coupled oscillators.
© EPLA 2008