COUPLING PARAMETER IN SYNCHRONIZATION OF SMALL-WORLD NEURAL NETWORKS

Sheng-Jun Wang, Xin-Jian Xu, Zhi-Xi Wu and Ying-Hai Wang ()
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Sheng-Jun Wang: Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China
Xin-Jian Xu: Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China
Zhi-Xi Wu: Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China
Ying-Hai Wang: Institute of Theoretical Physics, Lanzhou University, Lanzhou Gansu 730000, China

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 12, 1841-1848

Abstract: We investigate the critical features of coupling parameters in the synchronization of the ensemble of identical neural networks with small-world connectivity. An exponential decay form is observed in the extreme case of global coupling among subsystems and full connection in each networks: there exists a maximum and a minimum of the critical coupling intensity for synchronization in this spatially extended system. For partial coupling, we present the primary result about the critical coupling fraction for various linked degree of subnetworks.

Keywords: Neural networks; phase transitions; critical point phenomena (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0129183105008369

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