Modi ed homotopy perturbation method for solving non-linear oscillatorʹʹs equations

In this paper a new form of the homptopy perturbation method is used for solving oscillator di erential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and di erential equation oscillations have crucial importance in all areas of science and engineering. These equations equip a signi cant mathematical model for dynamical systems. The accuracy of the Solution equation is very important because the analysis component of the system like vibration amplitude control, synchronization dynamics are dependent to the exact solution of oscillation equation