Open AccessLinear feedback control of Hopf bifurcation in Langford system
Author(s) -
Liu Su-Hua,
Jinlu Tang
Publication year - 2007
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.56.3145
Subject(s) - hopf bifurcation , feedback control , control theory (sociology) , bifurcation , control (management) , physics , mathematics , computer science , nonlinear system , quantum mechanics , control engineering , artificial intelligence , engineering
The Hopf bifurcation characteristic in Langford system is analyzed and the control of Hopf bifurcation in this system is investigated by means of the method of linear state feedback control. The condition in which Hopf bifurcation occurs in the controlled system is arrived at in analysis and the analytical expressions of the limit cycles are obtained. Hopf bifurcation points are transformed and the stability of the limit cycles is controlled. The analytical results on controlling Hopf bifurcation points via the controllers agree well with the numerical results.