APPLICATION AND COMPUTATIONAL SIMULATIONS OF NONLINEAR DUFFING OSCILLATOR

A duffing oscillator occurs due to the motion of a body being subjected to a nonlinear power, linear sticky damping, and periodic forcing. It reveals the oscillations of mechanical systems under the action of a periodic external force. This work studies the application of Duffing oscillators, especially in damping and chaos theory, and also develops an alternative computational method for simulating the Duffing equation. By applying the new homotopy perturbation method and computational method, the findings of this study extract key elements into a model to make it predictive and interpretative. The model is a system with one variable x.x is the inertia or the second time derivative of displacement, are parameters, x is a small damping, The numerical simulation shows the phase plots and system time series.