Application of He’s Parameter-expansion Method to a Nonlinear Self-excited Oscillator System

In this letter we apply He’s parameter-expansion method to a nonlinear self-excited oscillator system. We provide an approximate solution for a nonlinear self-excited oscillator system using parameter-expansion method. Also, we obtain approximate values for frequencies of the system. The method is more efficient than the perturbation method for a nonlinear self-excited oscillator system because the method is independent of the perturbation parameter assumption. In parameter-expansion method one iteration step provides one approximate solution which is valid for the whole solution domain.

parameter-expansion method; self-excited system; nonlinear oscillator