The permanent magnet synchronous motor, which is a nonlinear dynamic system, can exhibit a variety of chaotic or limit cycle phenomenon under some choices of system parameters and external inputs, and its chaotic characteristics are more prominent. Based on the mathematical model of a permanent magnet synchronous motor, its nonlinear characteristics are analysed with respect to the bifurcation diagram, Lyapunov exponent map and the nature of its equilibrium point in this paper, and the results in well demonstrated by numerical simulations. Finally, an analog electronic circuit is designed to implement the mathematical model of a permanent magnet synchronous motor, and the experimental results of the system well agreed with the simulation results.