中国物理B ›› 2011, Vol. 20 ›› Issue (12): 128903-128903.doi: 10.1088/1674-1056/20/12/128903

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Chaos in complex motor networks induced by Newman–Watts small-world connections

张波1, 韦笃取2, 罗晓曙2   

  1. (1)College of Electric Power, South China University of Technology, Guangzhou 510640, China; (2)College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China
  • 收稿日期:2011-06-01 修回日期:2011-06-20 出版日期:2011-12-15 发布日期:2011-12-15
  • 基金资助:
    Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 50937001), the National Natural Science Foundation of China (Grant Nos. 10862001 and 10947011), and the Construction of Key Laboratories in Universities of Guangxi, China (Grant No. 200912).

Chaos in complex motor networks induced by Newman–Watts small-world connections

Wei Du-Qu(韦笃取)a)†, Luo Xiao-Shu(罗晓曙) a), and Zhang Bo(张波)b)   

  1. a College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China; b College of Electric Power, South China University of Technology, Guangzhou 510640, China
  • Received:2011-06-01 Revised:2011-06-20 Online:2011-12-15 Published:2011-12-15
  • Supported by:
    Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 50937001), the National Natural Science Foundation of China (Grant Nos. 10862001 and 10947011), and the Construction of Key Laboratories in Universities of Guangxi, China (Grant No. 200912).

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摘要： We investigate how dynamical behaviours of complex motor networks depend on the Newman-Watts small-world (NWSW) connections. Network elements are described by the permanent magnet synchronous motor (PMSM) with the values of parameters at which each individual PMSM is stable. It is found that with the increase of connection probability p, the motor in networks becomes periodic and falls into chaotic motion as p further increases. These phenomena imply that NWSW connections can induce and enhance chaos in motor networks. The possible mechanism behind the action of NWSW connections is addressed based on stability theory.

关键词: complex networks, small-world connections, chaos, permanent magnet synchronous motor

Abstract: We investigate how dynamical behaviours of complex motor networks depend on the Newman-Watts small-world (NWSW) connections. Network elements are described by the permanent magnet synchronous motor (PMSM) with the values of parameters at which each individual PMSM is stable. It is found that with the increase of connection probability p, the motor in networks becomes periodic and falls into chaotic motion as p further increases. These phenomena imply that NWSW connections can induce and enhance chaos in motor networks. The possible mechanism behind the action of NWSW connections is addressed based on stability theory.

Key words: complex networks, small-world connections, chaos, permanent magnet synchronous motor

中图分类号:  (Networks and genealogical trees)

  • 89.75.Hc
05.45.Ac (Low-dimensional chaos) 05.45.Pq (Numerical simulations of chaotic systems)