Asymptotic Solutions of Fifth Order Overdamped-Oscillatory Nonlinear Systems
Keyword(s):
Combo overdamp-oscillatory system plays an important role in natural phenomena in many engineering problems. In this paper, fifth order nonlinear damped-oscillatory differential system is studied to investigate an asymptotic analytical approximate solution in the fashion of overdamp-oscillations via an extension of the Krylov-Bogoliubov-Mitropolskii (KBM) method. The proposed method is demonstrated by its applications on a Duffing oscillators in the combined form of overdamp and oscillatory effects. The result obtained by the presented extended technique good agreement with the numerical solutions of the fourth order Runge-Kutta method.
2021 ◽
Vol 1999
(1)
◽
pp. 012093
Keyword(s):
2021 ◽
Vol 23
(11)
◽
pp. 99-109
2019 ◽
pp. 1-11
1972 ◽
Vol 94
(4)
◽
pp. 324-329
◽
2008 ◽
Vol 403
(2-3)
◽
pp. 464-468
◽
Keyword(s):
1991 ◽
Vol 113
(4)
◽
pp. 300-304
◽
1996 ◽
Vol 59
(3-4)
◽
pp. 187-207
◽