Chin. Phys. Lett.  2009, Vol. 26 Issue (7): 078901    DOI: 10.1088/0256-307X/26/7/078901
CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
Small-World Connections to Induce Firing Activity and Phase Synchronization in Neural Networks
QIN Ying-Hua, LUO Xiao-Shu
College of Electronic Engineering, Guangxi Normal University, Guilin 541004
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QIN Ying-Hua, LUO Xiao-Shu 2009 Chin. Phys. Lett. 26 078901
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Abstract We investigate how the firing activity and the subsequent phase synchronization of neural networks with small-world topological connections depend on the probability p of adding-links. Network elements are described by two-dimensional map neurons (2DMNs) in a quiescent original state. Neurons burst for a given coupling strength when the topological randomness p increases, which is absent in a regular-lattice neural network. The bursting activity becomes frequent and synchronization of neurons emerges as topological randomness further increases. The maximal firing frequency and phase synchronization appear at a particular value of p. However, if the randomness p further increases, the firing frequency decreases and synchronization is apparently destroyed.
Keywords: 89.75.Hc      87.18.Sn      05.45.Xt     
Received: 10 February 2009      Published: 02 July 2009
PACS:  89.75.Hc (Networks and genealogical trees)  
  87.18.Sn (Neural networks and synaptic communication)  
  05.45.Xt (Synchronization; coupled oscillators)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/7/078901       OR      https://cpl.iphy.ac.cn/Y2009/V26/I7/078901
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QIN Ying-Hua
LUO Xiao-Shu
[1] Stam C J 2004 Neurosci. Lett. 25 355
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[4] Vragovi\'c I, Louis E and D\'iaz-Guilera A 2006 Europhys. Lett. 76 780
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[6] Wei D Q, Luo X S and Qin Y H 2008 Physica A 387 2155
[7] Rulkov N F 2001 Phys. Rev. Lett. 86 183
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