The Bifurcation of Mutiple Limit Cycles for a Rotor-active Magnetic Bearing of Nonlinear System

In this paper,we consider a kind of rotor-active magnetic bearing of nonlinear system.The average equations of the system are in the form of a perturbed polynomial Hamiltonian system of degree 5.By using the bifurcation theory of planar dynamical system and the Maple symbolic computation program,we control the parameters to obtain 19 and 23 limit cycles under two different conditions and the configurations of com- pound eyes are also obtained.