Order parameters and synchronization of FitzHugh—Nagumo small-world networks
Li Yan-Long(李延龙),a)† Ma Jun(马军),a), Zhang Wei(张巍),b), and Liu Yan-Jun(刘延君)a)
a Institute of Theoretical Physics, Lanzhou University of Technology, Lanzhou 730050, China; b College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
Abstract This paper numerically investigates the order parameter and synchronisation in the small world connected FitzHugh--Nagumo excitable systems. The simulations show that the order parameter continuously decreases with increasing D, the quality of the synchronisation worsens for large noise intensity. As the coupling intensity goes up, the quality of the synchronisation worsens, and it finds that the larger rewiring probability becomes the larger order parameter. It obtains the complete phase diagram for a wide range of values of noise intensity D and control parameter g.
Received: 17 January 2009
Revised: 07 February 2009
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10847140) and the
Doctorial Start-up Fund of Lanzhou
University of Technology (Grant No 409).
Cite this article:
Li Yan-Long(李延龙), Ma Jun(马军),, Zhang Wei(张巍),, and Liu Yan-Jun(刘延君) Order parameters and synchronization of FitzHugh—Nagumo small-world networks 2009 Chin. Phys. B 18 4598
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