Open AccessBifurcation and dual-parameter characteristic of the coupled dynamos system
Author(s) -
Wu Shu-Hua,
Sun Yi,
Jianhong Hao,
Hongyao Xu
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.010507
Subject(s) - bifurcation , parameter space , period doubling bifurcation , lyapunov exponent , bifurcation diagram , chaotic , saddle node bifurcation , homoclinic bifurcation , control theory (sociology) , transcritical bifurcation , mathematics , physics , mathematical analysis , computer science , nonlinear system , control (management) , geometry , artificial intelligence , quantum mechanics
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.