Hopf Bifurcation of Flywheel Governor with Feedback Control Device

The mathematical model of the flywheel governor with a feedback device is proposed. Results show that there existsHopf bifurcation in the system. The bifurcation problem can be solved with a center manifold-normal forms theorem. A controllable condition of the system is presented. It was revealed by numerical simulation that the parameters need somehow away from bifurcation point to guarantee a quick convergence to the equilibrium point.