Notwithstanding the presence of some books summarizing specific research bodies on
structural systems, reviews on nonlinear dynamics and chaos in mechanical systems and …

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 …

This paper presents a new approach for solving accurate approximate analytical higher-
order solutions for strong nonlinear Duffing oscillators with cubic–quintic nonlinear restoring …

The aim of this work is to control the dynamic system behavior represented by a beam at
simultaneous primary and sub-harmonic resonance condition, where the system damage is …

In this article, based on the operational matrix of fractional order integration, we introduce a
method for the numerical solution of fractional strongly nonlinear Duffing oscillators with …

The effect of depth and location of a triple-well potential on vibrational resonance is
investigated in a quintic oscillator driven by a low-frequency force and a high-frequency …

Bifurcation and control of motion of a particle in a parametrically excited φ6 system are
considered. The amplitude of the harmonic oscillations, the frontiers separating different …

This paper presents the analysis of the local and codimension-3 degenerate bifurcations in
a simply supported flexible beam with quintic nonlinear terms subjected to a harmonic axial …

The main goal of this work is to focus on using He's two-scale fractal dimension transform,
the Caputo-Fabrizio fractional-order derivative, and the harmonic balance and the homotopy …

In this paper, the efficient multi-step differential transform method (EMsDTM) is applied to get
the accurate approximate solutions for strongly nonlinear duffing oscillator. The main …