He's frequency formulation for nonlinear oscillators using a golden mean location

DOI10.1016/j.camwa.2010.08.047zbMath1219.65082OpenAlexW2043538473MaRDI QIDQ636606

Zhong-Fu Ren, Wei-Kui Gui

Publication date: 28 August 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.047

zbMATH Keywords

accuracynonlinear oscillatorancient chinese mathematical methodHe's frequency formulationphase of residuals

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for ordinary differential equations (65L99)

Related Items (1)

Nonlinear oscillations of a point charge in the electric field of charged ring using a particular He's frequency-amplitude formulation

Cites Work

• Application of He's amplitude-frequency formulation to a nonlinear oscillator with discontinuity
• He's frequency formulation for the relativistic harmonic oscillator
• Exact solution for nonlinear Schrödinger equation by He's frequency formulation
• He's frequency-amplitude formulation for the Duffing harmonic oscillator
• He's frequency-amplitude formulation for nonlinear oscillators with an irrational force
• Periodic solutions for some strongly nonlinear oscillations by He's energy balance method
• Application of He's Max-Min approach to a generalized nonlinear discontinuity equation
• HE'S ITERATION PERTURBATION METHOD TO NONLINEAR OSCILLATIONS OF MECHANICAL SYSTEMS WITH SINGLE-DEGREE-OF FREEDOM
• AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
• Application of He's amplitude–frequency formulation to nonlinear oscillators with discontinuities
• He's frequency formulation for nonlinear oscillators
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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