An Iteration Procedure with Application to Van der Pol Oscillator

In this paper, a simple but effective iteration procedure to search the solution of the van der Pol equation is proposed. This procedure is a powerful tool for determination of periodic solution of a nonlinear equation of motion. The initial condition x(0) = 0 is often simplified to xnh(0) = 0 (n=0,l,2,...) and taken as an additional condition for the homogenous solution χώ . The solutions obtained using the present conditions and corresponding iteration procedure are in good agreement with the numerical integration results obtained by a fourth order Runge-Kutta method, which shows the accuracy of the procedure.

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