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Exact solution of a quadratic nonlinear oscillator

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Publication:2899259
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DOI10.1016/j.jsv.2006.01.013zbMath1243.34001OpenAlexW1979855611MaRDI QIDQ2899259

Hui Hu

Publication date: 28 July 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsv.2006.01.013



Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99)


Related Items (7)

A new exact solution of a damped quadratic non-linear oscillator ⋮ Symbolic computation of strongly nonlinear periodic oscillations ⋮ On the harmonic balance with linearization for asymmetric single degree of freedom non-linear oscillators ⋮ A generalized Duffing equation with the Coulomb's friction law and Signorini-type contact conditions ⋮ Exact solution of the quadratic mixed-parity Helmholtz-Duffing oscillator ⋮ Exact solutions of a generalized autonomous Duffing-type equation ⋮ Forced response of quadratic nonlinear oscillator: comparison of various approaches







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