Vibrations of non-linear single-degree-of-freedom systems; Singular points; Liapunoff function; Approximation techniques used in nonlinear vibration; Perturbation theory for the eigenvalue problem; Stability; Self-excited vibrations; Vibrations of non-linear multi-degree-of-freedom systems;bifurcations and chaos in dynamical systems. For simulation and analysis, this course will use computer programming such as MAPLE and MATLAB.