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- W2055361490 abstract "The approximate periodic solutions of the Helmholtz–Duffing oscillator are obtained by homotopy perturbation. The Helmholtz–Duffing oscillator becomes a Duffing oscillator when the homotopy parameter degenerates to one and a Helmholtz oscillator when it is zero. Since the behaviors of the solutions in the positive and negative directions are quite different, the asymmetric equation is separated into two auxiliary equations. The auxiliary equations are solved by homotopy perturbation method. A new analytical period for the Helmholtz–Duffing equation is derived. The resulting second-order approximate periodic solutions are compared to the analytical solutions using numerical integration with improved accuracy over some existing methods. Thus, the homotopy perturbation is very effective for the asymmetric nonlinear oscillators." @default.
- W2055361490 created "2016-06-24" @default.
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- W2055361490 date "2009-08-01" @default.
- W2055361490 modified "2023-10-06" @default.
- W2055361490 title "Homotopy perturbation for conservative Helmholtz–Duffing oscillators" @default.
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- W2055361490 doi "https://doi.org/10.1016/j.jsv.2009.02.045" @default.
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