Normal forms of homoclinic bifurcation for a rotor-active magnetic bearings system

The normal forms of homoclinic bifurcation for a rotor-active magnetic bearings (AMB) system with the time-varying stiffness are computed through considering the zeros of Melnikov equation by using the method of singularity theory. The results indicate that the bifurcation of limit point, simple bifurcation, isola center, hysteresis and quartic fold occurs.