A flexible rotor system supported by rolling bearings was studied for chaos,where Euler-Bernoulli shaft element,rigid disk,non-linear contact forces of roller bearings and unbalance force were considered,dynamic equations were established using finite element analysis(FEA)method.Period of solutions were determined by fixed point algorithm(FPA)method,Runge-Kutta method and Newton-Raphson method were used for solving the nonlinear dynamic equations,the largest Lyapunov exponent of the system was obtained to d...