control bifurcation of the generalized michelson system

This conference paper addresses bifurcation control for the generalized michelson system. we show how we can use the internal dynamics of the system and the small controller coefficient to realize the potential dynamics of the nearby differential system. these include saddle-node and hopf bifurcations from equilibria. further, there is a hopf bifurcation from the secondary limit cycles that leads to an invariant torus. bifurcation control is employed to address the regularization schemes around the hopf-zero equilibrium point of the generalized michelson system.