Bursting synchronization in clustered neuronal networks

doi:10.1088/1674-1056/22/1/018701

Abstract Neuronal networks in the brain exhibit the modular (clustered) property, i.e., they are composed of certain subnetworks with differential internal and external connectivity. We investigate bursting synchronization in a clustered neuronal network. A transition to mutual-phase synchronization takes place on the bursting time scale of coupled neurons, while on the spiking time scale, they behave asynchronously. This synchronization transition can be induced by the variations of inter- and intra-coupling strengths, as well as the probability of random links between different subnetworks. Considering that some pathological conditions are related with the synchronization of bursting neurons in the brain, we analyze the control of bursting synchronization by using a time-periodic external signal in the clustered neuronal network. Simulation results show a frequency locking tongue in the driving parameter plane, where bursting synchronization is maintained, even in the presence of external driving. Hence, effective synchronization suppression can be realized with the driving parameters outside the frequency locking region.

Keywords: bursting synchronization neuronal network cluster external signal

Received: 04 February 2012
Revised: 25 July 2012
Accepted manuscript online:

PACS:	87.19.lj	(Neuronal network dynamics)
	05.45.Xt	(Synchronization; coupled oscillators)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61072012, 61104032, and 61172009), the Natural Science Foundation of Tianjin Municipality, China (Grant No. 12JCZDJC21100), and the Young Scientists Fund of the National Natural Science Foundation of China (Grant Nos. 60901035 and 50907044).

Corresponding Authors: Wang Jiang
E-mail: jiangwang@tju.edu.cn

Cite this article:

Yu Hai-Tao (于海涛), Wang Jiang (王江), Deng Bin (邓斌), Wei Xi-Le (魏熙乐) Bursting synchronization in clustered neuronal networks 2013 Chin. Phys. B 22 018701

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