Baleanu, DumitruSayevand, KhosroBaleanu, DumitruFardi, Mojtaba2020-05-192020-05-192014Sayevand, Khosro; Baleanu, Dumitru; Fardi, Mojtaba, "A Perturbative Analysis Of Nonlinear Cubic-Quintic Duffing Oscillators", Proceedings Of The Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science, 15, No. 3, pp. 228-234, (2014).1454-9069https://hdl.handle.net/20.500.12416/3929Duffing oscillators comprise one of the canonical examples of Hamilton systems. The presence of a quintic term makes the cubic-quintic Duffing oscillator more complex and interesting to study. In this paper, the homotopy analysis method (HAM) is used to obtain the analytical solution for the nonlinear cubic-quintic Duffing oscillators. The HAM helps to obtain the frequency omega in the form of approximation series of a convergence control parameter (h) over bar. The valid region of (h) over bar is determined by plotting the omega - (h) over bar curve and afterwards we compared the obtained results with the exact solutions.eninfo:eu-repo/semantics/closedAccessHomotopy Analysis MethodHomotopy-Pade TechniqueOscillatorArticle153228234