Analytical and Numerical Approximations to Some Coupled Forced Damped Duffing Oscillators

In this investigation, two different models for coupled asymmetrical oscillators, known as, forced damped Duffing oscillators (FDDOs) are reported. The first model of FDDOs consists a nonlinear oscillator (FDDO) with linear oscillator, while the second is composed FDDOs. Krylov–Bogoliubov–Mitropolsky (KBM) method, carried out analyzing any model. To do that, reduced to decoupled system individual using suitable transformation. After KBM method implemented find some approximations both unforced and (DDOs). Furthermore, analytical compared fourth-order Runge–Kutta (RK4) numerical check accuracy all obtained approximations. Moreover, RK4 coupling decoupling systems each other.