SYNCHRONIZATION OF TIME DELAY FITZHUGH–NAGUMO SMALL-WORLD NETWORKS

Yan-Long Li (), Jun Ma, Yan-Jun Liu, Li-Ping Zhang and Jun-Yan Su
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Yan-Long Li: Institute of Theoretical Physics, Lanzhou University of Technology, Lanzhou 730050, China
Jun Ma: Institute of Theoretical Physics, Lanzhou University of Technology, Lanzhou 730050, China
Yan-Jun Liu: Institute of Theoretical Physics, Lanzhou University of Technology, Lanzhou 730050, China
Li-Ping Zhang: Institute of Theoretical Physics, Lanzhou University of Technology, Lanzhou 730050, China
Jun-Yan Su: Institute of Theoretical Physics, Lanzhou University of Technology, Lanzhou 730050, China

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 10, 1521-1529

Abstract: The order parameters and synchronization are numerically investigated in the time delay small-world connected FitzHugh–Nagumo excitable systems. The simulations show that the order parameter continuously decreases with increasingD, the quality of the synchronization worsens for large noise intensity. As the coupling intensity goes up, the quality of the synchronization worsens also, and find that the larger rewiring probability becomes, the larger-order parameter. At the same time, the order parameter goes up, the time delay declines. We obtained the complete phase diagram for a wide range of values of noise intensityDand control parameterg.

Keywords: Time delay; order parameter; small-world network; FitzHugh–Nagumo; noise; 87.19.ll; 87.19.lr; 87.18.Tt; 05.40.Ca (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014564

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