Abstract:

Hopf bifurcation of a class of Silnikov equation was studied by means of Washout fliter controller, with the relation between bifurcation parameter and the linear control gain obtained. The bifurcation parameter could be moved by changing the linear control gain. The amplitude of the limit cycle can be controlled by changing the nonlinear control gain. The validity of the control method proposed was verified by the numerical simulation.

Key words: Silnikov equation, Hopf bifurcation, Washout filter