Quadratic non-linear oscillators
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Publication:2881710
DOI10.1016/S0022-460X(03)00481-4zbMath1236.70036MaRDI QIDQ2881710
Publication date: 3 May 2012
Published in: Journal of Sound and Vibration (Search for Journal in Brave)
Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) General perturbation schemes for nonlinear problems in mechanics (70K60) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)
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FEED FORWARD RESIDUE HARMONIC BALANCE METHOD FOR A QUADRATIC NONLINEAR OSCILLATOR ⋮ The iterative homotopy harmonic balance method for conservative Helmholtz-Duffing oscillators ⋮ On the harmonic balance with linearization for asymmetric single degree of freedom non-linear oscillators ⋮ Approximate periodic solutions for the Helmholtz-Duffing equation ⋮ A finite extensibility nonlinear oscillator ⋮ Exact solution of the quadratic mixed-parity Helmholtz-Duffing oscillator ⋮ ANALYTICAL APPROXIMATION OF HETEROCLINIC BIFURCATION IN A 1:4 RESONANCE ⋮ Forced response of quadratic nonlinear oscillator: comparison of various approaches ⋮ Nonstandard finite difference methods: recent trends and further developments
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