METHOD OF VARIATION OF PARAMETER FOR ALMOST CRITICALLY DAMPED NONLINEAR SYSTEMS

Abstract

Second order nonlinear differential systems modeling almost non-oscillatory processes have been considered. A new perturbation technique based on the work of Krylov-Bogoliubov-Mitropolskii method has been developed to find approximate solutions for almost critically damped nonlinear systems. The solution shows a good agreement with the numerical solution.