CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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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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Cite this article: |
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.
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Keywords:
89.75.Hc
87.18.Sn
05.45.Xt
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Received: 10 February 2009
Published: 02 July 2009
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PACS: |
89.75.Hc
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(Networks and genealogical trees)
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87.18.Sn
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(Neural networks and synaptic communication)
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05.45.Xt
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(Synchronization; coupled oscillators)
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