Abstract: A cracked rotor is a complicated nonlinear time-varying dynamical system and its types of motion can be periodic, quasiperiodic or chaotic when the parameters of system changes. For a given set of parameters of the system, Poincare section,power spectrum, wave form and Lyapunov exponent are usually utilized to see whether the response of the system is chaotic or not, but it is difficult to determine precisely the domains or attracting basins of different types of motions in parametric space or initial value...