| 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 | https://doi.org/10.1209/0295-5075/82/38003 | |
| Published online | 23 April 2008 | |
Fast synchronization in neuronal networks
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
Corresponding author: hongbinh@seu.edu.cn
Received:
2
January
2008
Accepted:
14
March
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.
PACS: 87.19.L- – Neuroscience / 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2008
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