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arxiv: 1608.07377 · v1 · pith:VMQFTGOLnew · submitted 2016-08-26 · 🌊 nlin.SI

Cheillini integrability and quadratically damped oscillators

Ankan Pandey , A. Ghose Choudhury , Partha Guha This is my paper
classification 🌊 nlin.SI
keywords equationcheilliniintegrabilitylienardtypeapproachcharacteristicclosed
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In this paper a new approach to study an equation of the Lienard type with a strong quadratic damping is proposed based on Jacobi's last multiplier and Cheillini's integrability condition. We obtain a closed form solution of the transcendental characteristic equation of the Lienard type equation using the Lambert W-function.

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    physics.class-ph 2019-06 unverdicted novelty 5.0

    Nonlinear generalization of the isotonic oscillator via symmetrized potential yields an amplitude-dependent period expressible in terms of the hypergeometric function that reduces to 2π at α=1.