Application of a modified rational harmonic balance method for a class of strongly nonlinear oscillators
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Publication:641493
DOI10.1016/j.physleta.2008.08.024zbMath1223.34055OpenAlexW2167838058MaRDI QIDQ641493
Publication date: 21 October 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10045/9205
Stability for nonlinear problems in mechanics (70K20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
Related Items (12)
Approximate Analytical Solutions of A Nonlinear Oscillator Equation Modeling A Constrained Mechanical System ⋮ On the solution of strong nonlinear oscillators by applying a rational elliptic balance method ⋮ Periodic solutions for Hamiltonian equation associated with Gaussian potential ⋮ Notes on ``Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms ⋮ Analysis of the nonlinear structural-acoustic resonant frequencies of a rectangular tube with a flexible end using harmonic balance and homotopy perturbation methods ⋮ Approximate analytical solutions to a conservative oscillator using global residue harmonic balance method ⋮ Approximate periodic solutions for the Helmholtz-Duffing equation ⋮ Approximate solution for the Duffing-harmonic oscillator by the enhanced cubication method ⋮ Application of the Hamiltonian approach to nonlinear oscillators with rational and irrational elastic terms ⋮ A simple approach to nonlinear oscillators ⋮ Global residue harmonic balance method for Helmholtz-Duffing oscillator ⋮ HARMONIC BALANCE FOR NON-PERIODIC HYPERBOLIC SOLUTIONS OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
Cites Work
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- Homotopy perturbation method for bifurcation of nonlinear problems
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- Nonlinear oscillator with discontinuity by parameter-expansion method
- Construction of solitary solution and compacton-like solution by variational iteration method
- Variational approach for nonlinear oscillators
- Solution of a Duffing-harmonic oscillator by the method of harmonic balance
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- Application of the homotopy perturbation method to the nonlinear pendulum
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- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- Alternative perturbation approaches in classical mechanics
- Letter to the Editor
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