The homotopy perturbation method is used to solve the Duffing-harmonic oscillator. Only
one iteration leads to high accuracy of the approximate solution, which is valid for the whole …

We apply He's homotopy perturbation method to find improved approximate solutions to
conservative truly nonlinear oscillators. This approach gives us not only a truly periodic …

The first-order harmonic balance method via the first Fourier coefficient is used to construct
two approximate frequency–amplitude relations for a conservative nonlinear oscillatory …

A modified He's homotopy perturbation method (HHPM) is used to calculate the periodic
solutions of a conservative nonlinear oscillator for which the elastic force term is proportional …

A modified He's homotopy perturbation method is used to calculate the periodic solutions of
a nonlinear oscillator with discontinuities for which the elastic force term is proportional to …

An analytical solution to the differential equation describing the Duffing oscillator with
dam** is presented. The dam** term of the differential equation and the initial …

The solution to the softening Duffing differential equation ̈ x+ 2 β ̇ x+ α x-ε x^ 3= 0 x¨+ 2 β
x˙+ α x-ε x 3= 0, for an unforced system with dam** is described in terms of the Jacobi …

In this paper He's homotopy perturbation method has been adapted to calculate higher-
order approximate periodic solutions for a nonlinear oscillator with discontinuity for which …

The nonlinear oscillations of a Duffing-harmonic oscillator are investigated by an
approximated method based on the 'cubication'of the initial nonlinear differential equation. In …

The homotopy perturbation method is used to solve the nonlinear differential equation that
governs the nonlinear oscillations of a simple pendulum, and an approximate expression for …