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Chin. Phys. B, 2009, Vol. 18(10): 4598-4602    DOI: 10.1088/1674-1056/18/10/082
CROSS DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev  

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.
Keywords:  order parameter      small world network      noise  
Received:  17 January 2009      Revised:  07 February 2009      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  87.18.Sn (Neural networks and synaptic communication)  
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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