Estimated the frequencies of a coupled damped nonlinear oscillator with the non-Perturbative method

The current article is concerned with a comprehensive investigation of achieving the simplest solution non-conservative coupled nonlinear forced oscillators. mainly depends on non-perturbative method. It yielding an equivalent linear system. advantage this system that its coefficients are easily computed and they include effects original coefficients. This linearization approach allows quasi-exact solutions even in presence periodic forces. relationships frequencies amplitudes established. analytical so yielded may serve as basis for qualitative understanding actual behavior Additionally, numerical calculations carried out graphically to address validation new further illustrate effectiveness convenience results compared exact which show perfect accuracy. method can be extended other systems therefore exceedingly applicable engineering sciences.