Analytical solutions of a generalized Duffing-harmonic oscillator by a nonlinear time transformation method

DOI10.1016/j.physleta.2012.02.022zbMath1255.34037OpenAlexW2019173168MaRDI QIDQ1933246

Yanyan Li

Publication date: 22 January 2013

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2012.02.022

zbMATH Keywords

Padé approximationnonlinear time transformationhomoclinic/heteroclinic orbitscubication methodgeneralized Duffing-harmonic oscillators

Mathematics Subject Classification ID

Padé approximation (41A21) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (5)

Predicting homoclinic and heteroclinic bifurcation of generalized Duffing-harmonic-van der Pol oscillator ⋮ The maximum amplification of perturbations in ecological systems ⋮ Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms ⋮ Accurate Explicit Analytical Solutions of the Duffing-Harmonic Oscillator Equation using Nonlinear Time Transformation ⋮ Exact solutions of a generalized autonomous Duffing-type equation

Cites Work

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• A new analytical approximation to the Duffing-harmonic oscillator
• An explicit approximate solution to the Duffing-harmonic oscillator by a cubication method
• Determination of the frequency-amplitude relation for a Duffing-harmonic oscillator by the energy balance method
• A new analytical approach to the Duffing-harmonic oscillator
• Rational harmonic balance based method for conservative nonlinear oscillators: application to the Duffing equation
• MATHEMATICAL AND NUMERICAL STUDY OF THE DUFFING-HARMONIC OSCILLATOR
• Analytical study on a Duffing-harmonic oscillator
• Solution of a Duffing-harmonic oscillator by the method of harmonic balance
• Higher accuracy analytical approximations to the Duffing-harmonic oscillator
• Solutions of the Duffing-harmonic oscillator by an iteration procedure
• Approximation of Poles and Branch Points of Solutions to Certain Nonlinear Differential Equations Using Modified Piecewise Pade Approximations
• ON THE UNIQUENESS OF ANGULAR FREQUENCY USING HARMONIC BALANCE FROM THE EQUATION OF MOTION AND THE ENERGY RELATION
• Higher-order approximate solutions to the relativistic and Duffing-harmonic oscillators by modified He's homotopy methods
• A Perturbation Method for Treating Nonlinear Oscillation Problems

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