This article examines a fifth order critically damped nonlinearsystem in the case of small equal eigenvalues\nand tries to find out an asymptotic solution. This paper suggests that the solutions obtained\nby the perturbation techniques based on modified Krylov-Bogoliubov-Mitropoloskii (KBM) method is\nconsistent with the numerical solutions obtained by the fourth order Runge-Kutta method.
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