Application of the modified frequency formulation to a nonlinear oscillator

Authors:
Xu-Chu Cai;Jun-Fang Liu
Affiliations:
College of Sciences, Donghua University, Shanghai 201620, China;College of Textile, Donghua University, Shanghai 200051, China
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 7
Cited 0

The modified homotopy perturbation method for solving strongly nonlinear oscillators

Computers & Mathematics with Applications
Homotopy perturbation method for a conservative x1/3 force nonlinear oscillator

Computers & Mathematics with Applications
He's frequency formulation for the relativistic harmonic oscillator

Computers & Mathematics with Applications
Exact solution for nonlinear Schrödinger equation by He's frequency formulation

Computers & Mathematics with Applications
He's frequency-amplitude formulation for the Duffing harmonic oscillator

Computers & Mathematics with Applications
He's frequency-amplitude formulation for nonlinear oscillators with an irrational force

Computers & Mathematics with Applications
Periodic solutions for some strongly nonlinear oscillations by He's energy balance method

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.09

Visualization

Abstract

He's frequency formulation is used to obtain the relationship between the frequency and amplitude of a nonlinear oscillator. The general approach is to choose two linear oscillators; in this paper, however, one linear oscillator and the Duffing oscillator are chosen as trial equations. The solution procedure is of utter simplicity, while the result is of high accuracy.