An Approximate Solution for a Modified Van der Pol Oscillator

نویسندگان

  • VASILE MARINCA
  • NICOLAE HERIŞANU
چکیده

In this paper, a Van der Pol oscillator containing a periodic oscillator is considered. A simple and effective iteration procedure to search the solution of the modified Van der Pol oscillator equation is proposed. This procedure is a powerful tool for determination of periodic solution of a non-linear equation of motion. The solutions obtained using the present iteration procedure are in good agreement with the numerical integration results obtained by a fourth order Runge-Kutta method, which shows the applicability of the procedure. Key-Words: Non-linear oscillations, modified Van der Pol oscillator, iteration procedure, periodic solution

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تاریخ انتشار 2006