中国物理B ›› 2009, Vol. 18 ›› Issue (10): 4598-4602.doi: 10.1088/1674-1056/18/10/082

• • 上一篇    

Order parameters and synchronization of FitzHugh—Nagumo small-world networks

张巍1, 李延龙2, 马军2, 刘延君2   

  1. (1)College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China; (2)Institute of Theoretical Physics, Lanzhou University of Technology, Lanzhou 730050, China
  • 收稿日期:2009-01-17 修回日期:2009-02-07 出版日期:2009-10-20 发布日期:2009-10-20
  • 基金资助:
    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).

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)   

  1. 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
  • Received:2009-01-17 Revised:2009-02-07 Online:2009-10-20 Published:2009-10-20
  • Supported by:
    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).

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摘要： 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.

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.

Key words: order parameter, small world network, noise

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
87.18.Sn (Neural networks and synaptic communication)