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)
aCollege of Electronic Engineering, Guangxi Normal University, Guilin 541004, China; bCollege of Electric Power, South China University of Technology, Guangzhou 510640, China
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.
Fund: 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).
Cite this article:
Wei Du-Qu(韦笃取), Luo Xiao-Shu(罗晓曙), and Zhang Bo(张波) Chaos in complex motor networks induced by Newman–Watts small-world connections 2011 Chin. Phys. B 20 128903
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