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Bifurcation and dual-parameter characteristic of the coupled dynamos system

Xu Hai-Bo Sun Yi Hao Jian-Hong Wu Shu-Hua

Bifurcation and dual-parameter characteristic of the coupled dynamos system

Xu Hai-Bo, Sun Yi, Hao Jian-Hong, Wu Shu-Hua
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  • Received Date:  15 January 2010
  • Accepted Date:  26 April 2010
  • Published Online:  15 January 2011

Bifurcation and dual-parameter characteristic of the coupled dynamos system

  • 1. (1)Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; (2)School of Electric and Electronic Engineering, North China Electric Power University, Beijing 102206, China; (3)School of Electric and Electronic Engineering, North China Electric Power University, Beijing 102206, China;Department of Physics and Electrical Information Engineering, Shijiazhuang Normal College, Shijiazhuang 050035, China

Abstract: Based on the comprehensive analysis of the basic dynamic characters of the coupled dynamos system, we have calculated the Lyapunov exponent spectra, bifurcation diagrams and so on, and discussed the chaotic bifurcation and mutative characteristic thoroughly in the periodic windows of the system, and the dual-parameter characteristic is also analyzed. It is found that a boundary line is absent in period-doubling bifurcations and a complicated bifurcation structure appears in 2D parameter space, the influences of two control parameters to the dynamic behavior are different.

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