The main goal of this paper is to study the new solitary wave behaviors of the fractional
Jaulent–Miodek hierarchy model (FJMHE) with M-truncated fractional derivative. First, we …

This paper focuses on the vibration periodic property of Duffing oscillator with generalized
initial conditions. Firstly, the undamped case is solved by Ji-Huan He's frequency …

The dynamic pull-in instability of a microstructure is a vast research field and its analysis is of
great significance for ensuring the effective operation and reliability of micro …

In this investigation, two different models for two coupled asymmetrical oscillators, known as,
coupled forced damped Duffing oscillators (FDDOs) are reported. The first model of coupled …

In this investigation, some different approaches are implemented for analyzing a
generalized forced damped complex Duffing oscillator, including the hybrid homotopy …

A simple pendulum of length (b) and bob mass (m) attached to point (O) is considered and
investigated. The point (O) is oscillating vertically according to the relation (qo cos Ω t) …

Ordinary differential equations (ODEs) are fundamental tools for modeling and
understanding a wide range of chemistry, physics, and biological phenomena. However …

The idea of the present article is to look into the nonlinear dynamics and vibration of a
dam** Duffing-jerk oscillator in fractal space exhibiting the non-perturbative approach …

Abstract The (un) forced (un) damped parametric pendulum oscillator (PPO) is analyzed
analytically and numerically using some simple, effective, and more accurate techniques. In …

The perturbation method is a prevalent approach for nonlinear oscillators; however, the
outcomes are only applicable to situations with weak nonlinearity. Other analytical methods …