This paper reveals the effectiveness of the homotopy perturbation method for strongly
nonlinear oscillators. A generalized Duffing oscillator is adopted to elucidate the solving …

The frequency of a nonlinear vibration system is nonlinearly related to its amplitude, and this
relationship is critical in the design of a packaging system and a microelectromechanical …

A good initial guess and an appropriate homotopy equation are two main factors in
applications of the homotopy perturbation method. For a nonlinear oscillator, a cosine …

Molecular dynamics (MD) is a powerful tool for modeling structural transformations in
metallic materials under irradiation, severe plastic deformation, laser processing, etc. The …

Purpose Under certain conditions, the governing equation of motion of magnetic spherical
pendulum results in a cubic-quintic Duffing equation. The current work aims to achieve an …

A nonlinear chain with sixth-order polynomial on-site potential is used to analyze the
evolution of the total-to-kinetic-energy ratio during development of modulational instability of …

The frequency detuning idea is further examined and fully extended to develop a refined
multi-scale analysis procedure for more generic nonlinear systems of an inertially/dam** …

This study develops a modified harmonic balance method (HBM) and uses it to analyze the
vibration isolation performance of a geometrically nonlinear isolation system subjected to …

In this article, a well-known technique, the variational iterative method with the Laplace
transform, is used to solve nonlinear evolution problems of a simple pendulum and mass …

By studying the dynamic stability of Bose-Einstein-condensed binary mixtures trapped on
the surface of an ideal two-dimensional spherical bubble, we show how the Rabi coupling …