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Detection of ordered wave in the networks of neurons with changeable connection

The probability of long-range connection among neurons could be changeable in biological neuronal networks. In this paper, the probability of long-range connection between neurons is not fixed at a constant but varies in a numerical region (≤P0), and then the collective behaviors of neurons are dete...

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Bibliographic Details
Published in:Science China. Physics, mechanics & astronomy mechanics & astronomy, 2013-05, Vol.56 (5), p.952-959
Main Authors: Ma, Jun, Wu, Ying, Wu, NingJie, Guo, HaiYan
Format: Article
Language:English
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Summary:The probability of long-range connection among neurons could be changeable in biological neuronal networks. In this paper, the probability of long-range connection between neurons is not fixed at a constant but varies in a numerical region (≤P0), and then the collective behaviors of neurons are detected. A statistical factor in the two-dimensional space is used to detect the phase transition and robustness of spiral wave in the active network of neurons. It is found that the development of spatiotem- poral pattern depends on the numerical region (≤P0) for the probability of long-range connection. Coherence resonance-like behavior is observed due to the fluctuation in the long-range probability. Spiral waves emerge to occupy the network of neu- rons under an optimized probability of long-range connection, and it shows certain robustness in weak channel noise.
ISSN:1674-7348
1869-1927
DOI:10.1007/s11433-013-5070-0